{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5a66d505-09fb-4e1c-bbe4-1daa5904368d",
   "metadata": {},
   "source": [
    "Chapter 12\n",
    "\n",
    "# 椭圆视角看主成分分析\n",
    "《线性代数》 | 鸢尾花书：数学不难"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b296e036-6c53-447f-a477-3ce8c2a81e92",
   "metadata": {},
   "source": [
    "这段代码从数学角度展示了**二维高斯分布样本的生成、马氏距离的等高线图绘制、数据中心化、协方差矩阵特征值分解、以及在不同方向上的线性投影效果**，结合可视化，揭示主成分分析（PCA）背后的核心思想。下面分段讲解代码背后的数学逻辑：\n",
    "\n",
    "---\n",
    "\n",
    "$数据生成$  \n",
    "代码首先从二维高斯分布中采样 $300$ 个样本点，均值向量为 $\\mu = [4, 3]$，协方差矩阵为  \n",
    "$$\n",
    "\\Sigma = \\begin{bmatrix} 1 & 0.5 \\\\ 0.5 & 1 \\end{bmatrix}\n",
    "$$  \n",
    "生成的数据服从 $X \\sim \\mathcal{N}(\\mu, \\Sigma)$，即一个形状为椭圆的二维正态分布数据云。变量 `data` 存储的是这些二维样本。\n",
    "\n",
    "---\n",
    "\n",
    "$马氏距离计算$  \n",
    "接着定义了一个函数用于计算马氏距离。马氏距离度量的是一个点 $x$ 到中心 $\\mu$ 的距离，考虑了变量之间的协方差结构，其定义为：  \n",
    "$$\n",
    "D_M(x) = \\sqrt{(x - \\mu)^T \\Sigma^{-1} (x - \\mu)}\n",
    "$$  \n",
    "代码中通过 `cov_inv = np.linalg.inv(cov)` 计算协方差矩阵的逆，然后对网格上的每一个点计算其到中心点的马氏距离，并绘制等高线。等高线为马氏距离的等值线，表示距离中心 $\\mu$ 相同的点组成的集合，这在二维空间下形成的是一组椭圆线，形状由 $\\Sigma$ 决定。\n",
    "\n",
    "---\n",
    "\n",
    "$二维数据与马氏距离可视化$  \n",
    "在第一个图中，绘制了：\n",
    "- 马氏距离的等高线（以 $\\mu$ 为中心）\n",
    "- 实际生成的数据点（黑色圆点）\n",
    "- 中心点横纵坐标线（以 $\\mu$ 为交点）\n",
    "\n",
    "这一步展现的是数据分布在原坐标系下的几何特征，特别是协方差矩阵决定的“椭圆形状”。\n",
    "\n",
    "---\n",
    "\n",
    "$中心化$  \n",
    "通过将原始数据减去其均值 $\\mu$，实现了数据的中心化：  \n",
    "$$\n",
    "X_c = X - \\mu\n",
    "$$  \n",
    "这一步在几何上相当于将整个数据云平移，使其质心移动到原点 $(0,0)$。中心化不会改变数据的协方差结构和马氏距离等值线的形状。代码在新的图中重新绘制了中心化后的数据分布和马氏距离等高线，展示了“椭圆”如何围绕原点分布。\n",
    "\n",
    "---\n",
    "\n",
    "$协方差矩阵特征值分解$  \n",
    "之后，代码对协方差矩阵 $\\Sigma$ 进行特征值分解：  \n",
    "$$\n",
    "\\Sigma = V \\Lambda V^{-1}\n",
    "$$  \n",
    "其中：\n",
    "- $V$ 是协方差矩阵的特征向量矩阵，每一列是一个方向向量\n",
    "- $\\Lambda$ 是对角矩阵，包含对应的特征值，反映每个方向的方差大小\n",
    "\n",
    "这一步揭示了马氏距离等高线（椭圆）轴线的方向（特征向量）和长度（特征值）。\n",
    "\n",
    "---\n",
    "\n",
    "$在方向 v_1 上投影$  \n",
    "代码定义一个角度为 $45^\\circ$ 的单位向量 $v_1$：\n",
    "$$\n",
    "v_1 = \\begin{bmatrix} \\cos(\\pi/4) \\\\ \\sin(\\pi/4) \\end{bmatrix}\n",
    "$$  \n",
    "然后构造一个投影矩阵：\n",
    "$$\n",
    "T_1 = v_1 v_1^T\n",
    "$$  \n",
    "每个中心化样本 $x$ 投影到该方向上得到：\n",
    "$$\n",
    "z = x^T v_1\n",
    "$$  \n",
    "这是在该方向上进行一次线性投影的标准做法。最后将一维投影结果映射回二维平面，用于可视化投影点与原点的连线，从而展现数据在该方向的“压缩”效果。\n",
    "\n",
    "---\n",
    "\n",
    "$在方向 v_2 上投影$  \n",
    "同理，第二部分定义了另一个方向 $v_2$，其角度为 $-45^\\circ$，重复上述投影过程。这一步的目的是比较两个方向的投影效果，展示不同投影方向对数据压缩程度的影响。\n",
    "\n",
    "---\n",
    "\n",
    "$几何意义总结$  \n",
    "整个代码组合在一起展现了主成分分析的核心思想：  \n",
    "- 通过协方差矩阵 $\\Sigma$ 获得数据主要变化方向（特征向量）\n",
    "- 不同方向的投影会导致不同程度的信息保留\n",
    "- 方向对应的特征值越大，说明该方向上的数据变化越大，投影效果越好\n",
    "\n",
    "换句话说，主成分分析实际上寻找的是使数据投影后方差最大的方向，而马氏距离提供了一种自然的方式度量不同方向的数据“形状”。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb92472c-1198-4262-94b8-fa93ccc35224",
   "metadata": {},
   "source": [
    "## 初始化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a322ec64-c222-45fa-ba2b-f1cf98934b07",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "import pandas as pd  \n",
    "import seaborn as sns \n",
    "from scipy.stats import multivariate_normal"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "56a6827a-9708-44f3-9e35-ceece87322f5",
   "metadata": {},
   "source": [
    "## 创建二维数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ff08e856-b70c-4781-9b97-ae598d86ce66",
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(0)\n",
    "mean = [4, 3]\n",
    "cov = [[1, 0.5], \n",
    "       [0.5, 1]]\n",
    "data = np.random.multivariate_normal(mean, cov, 300)\n",
    "cov_used = np.array(cov) \n",
    "# 注意，准确来说，cov_used应该通过data计算"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa993d49-0c2d-4365-99f8-5df62ff707d8",
   "metadata": {},
   "source": [
    "## 马氏距离自定义函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "402649ac-834b-46fb-aab8-39aee35ac991",
   "metadata": {},
   "outputs": [],
   "source": [
    "def mahalanobis_distance(x, mean, cov_inv):\n",
    "    delta = x - mean\n",
    "    return np.sqrt(np.dot(np.dot(delta, cov_inv), delta.T))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "48272223-ef76-4e8a-90bd-69e0499f8f5b",
   "metadata": {},
   "source": [
    "## 网格数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "8bdefdef-097e-4df1-a453-e5dc8f6e5925",
   "metadata": {},
   "outputs": [],
   "source": [
    "x, y = np.meshgrid(\n",
    "            np.linspace(0,10, 100),\n",
    "            np.linspace(0,10, 100),)\n",
    "pos = np.c_[x.ravel(), y.ravel()]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1ade09f-565c-4073-b872-6233efd09df7",
   "metadata": {},
   "source": [
    "## 计算马氏距离"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "14e40d8b-2fd6-4a8a-8039-63faec211860",
   "metadata": {},
   "outputs": [],
   "source": [
    "cov_inv = np.linalg.inv(cov_used)\n",
    "\n",
    "Mahal_dd = np.diag((pos - mean) @ cov_inv @ (pos - mean).T)\n",
    "Mahal_dd = np.sqrt(Mahal_dd)\n",
    "Mahal_dd = np.reshape(Mahal_dd,x.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "578a2fc1-7f12-44c6-9b9c-7725b4469ce9",
   "metadata": {},
   "source": [
    "## 可视化二维散点数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "74007ca2-2928-4941-a659-0db9dd229504",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize = (6,6))\n",
    "\n",
    "# 绘制马氏距离等高线\n",
    "plt.contourf(x, y, Mahal_dd, cmap='YlGnBu_r', levels=np.linspace(0,3,13))\n",
    "\n",
    "# 绘制样本数据散点\n",
    "ax = sns.scatterplot(x=data[:,0], y=data[:,1], \n",
    "                     marker = 'o', zorder = 1e3, \n",
    "                     color = 'k', size = 3)\n",
    "\n",
    "ax.axvline(x = 0, c = 'k')\n",
    "ax.axhline(y = 0, c = 'k')\n",
    "ax.axvline(x = data[:,0].mean(), c = 'k')\n",
    "ax.axhline(y = data[:,1].mean(), c = 'k')\n",
    "ax.axis('scaled')\n",
    "ax.set_xbound(lower = 0, upper = 8)\n",
    "ax.set_ybound(lower = 0, upper = 6)\n",
    "ax.xaxis.set_ticks([])\n",
    "ax.yaxis.set_ticks([])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bec8f29b-d457-46e7-a663-860110aa2887",
   "metadata": {},
   "source": [
    "## 中心化数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "6cada8a6-30f4-4b46-9035-7ec1095cde95",
   "metadata": {},
   "outputs": [],
   "source": [
    "Xc = data - mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "225cc5ed-036d-4b43-aa17-efad924a3fce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ZRE5iYqJdjAFMJhNLflqBSuoB5OwNu5rU/Lf6KN1adqFjk2f589uNuKWrCzQWkbyRa2RCYSCqqYpxs9/iwykvEVxbyJcYl2XE5U/ZI84hizwSFHWIuigpbIhRIpFiNDrfrFNSUrmVoSDFmPPNP+FUPCM+GmH/+8vPviC8QjjVnquFWSiZBKITSYoiPd5jvlkvDypL2OeVc/CWDdb0Ah9fXApV/hAFWeShpqx7xUWB2WqkQoUKyGSyu4k/NvoM6EuKMTXHfZVSJbsPOl+jtcvXMKV7M5KNKUUyxkyKWnjze56yKNSXNLJi6yxVlKIsJncVP6Igizy0lFWvuDiSbr7//numT5/O/gP7SU9Pp//A/vjUDUCPIcf9zFYzFaMqONkbNmmIwZrzvrlRUuKbHx4cU1kR6OIU5bKIuPwpa0RBFnkoeZTEGODatWsMHz6cLZe3o1arSTVpchVjACtWajSrRaPGjTh6xHbNwsLC6NyrCxnmvLcMLIvimxfuH3dRirNSqkClUWBI06P2dyVNoUUgZ0+1uERZ9JLLD6Igizx0lEUxLi4hvqSRoc+4N0ecYkhFLcufZ6v1NvDZ4i+4fSkOk8lMWNUwtJ65H6O8inB2FJU4q1CSsD+Wj977kDt37tCocSOmfzsDbXDuSVmPmqcs4ogoyCIPDWVRiKF4xLio1w+nuWbgUs8TFyCNrD3jh02AcyLzsxZEmCWxVvq/8rp9Pv/okaNMHDmRCT9NRiPLPUmrOERZTPAqH4iCLPJQUBbFuDwIcW48SiKcFQUR5tjoGIfkOoDd/+zCmmoG3yIdXqkghq2LD1GQRco9j4IYl6QQP+oinBX5EWb/4AAnW/Xq1ZG55f12+yh4yWJilzNiYRCRck1RiXFRlb8sTIGPrCjJ8pYnkhSiGOdCXq6RMtyF8ZPHI5HYfgceHh589u1M0tQZ+TqXWNb00UP0kEXKLUUpxkVBefSKRQHOH1IkVJC5YIwz4+8vIU3unD2tk+lp0edJ/mi9iZQ7KQRFBmHws2Cy5n8+uqg95bLmJYs4InrIIuWSsiTG5dErfpS9YZlEmkvPpKxRSKXUSrHw1RuDean5U4zqMxzzNTnSLG6jOokeU7iAW30v0n30BRLjTMqip1wcbUZFREEWKWcUZaemohLjoqK4hThThB9VIfaRKal6W4/w1xG8jl2hulGRL2GuZFbyfp/XOX7U9vs7dPAgQ/u/TVqSe/EMuJgQu0GVXcSQtUi5oSwJMRS9GBcXj6oA349MIsXzYhyvvvgymQ3uqtWozvifv+eCIm/eqy7+DrGxsQ62a1evYk5M5gTqYq36Ja5PfjQQBVmkXFCWxLi4hdjD4obEAGZ3KxnWvFfLehBRiO8RIVXzxaQp3N9ttnnTZhjOX8fXaiawcgWue8rRWbIXVRdPD5RKpUMjDxcXF5TuboClUGuX84Ioyg8/YshapMzzMIpxVuFphVSO4iqM7/8JPZ/ozurpy3FPzn8bxPIalj6donR6FRVyK6QkJdv/HjBgAOfOnaN/v9cY/PoA+rfvQsX4nLOg4zwVTPhsuv1viUTC5FmfE+vh6NeUh2tfFL/jovj/JLZidET0kEXKNGVFjEsiPK1KkNO96wv2vsbz58wnJTmFt6e9Rzp5WzLzX7IcpUvhx1hB6oIsPhmrxYokxI+rQsE89cKKanb711bICYiPJSUunvAKoWjDfbktZF+aMkZm4n/DhrBtw0ZiYmIIDw9nwYIF9vd1Oh3ff/YlvWdN4JYp62udajHg17oRy7ZvJik2Ht/QYBL9XEgyOZcZPZGkKBZPWfSSH25EQRYpsxSFGJc1rzgnbl25aRfjTFavXM07I98F7+z3+y+5aP8bVzEpWDx+Mls3bwGgxRNPMPjzSZxXmnPcrzDiW1GtorIuAwSBG67uXNDrs922kkrJjeVLGf/tt3bbJ9Omk/Jka+INNnGs52NCggSzYAUgwCAhEUhJSaFOnTr4+DqXzLpy6RLqXLTujtXIHR85+ISRCGDJ/iGguERZ5OFFDFmLlElKQ4wtJjVnjkpYtyyaXX+mknzbtcTEGMDN0zlbNzAwEIkq6/+mxRGalkukxB49ZRdjgP179nD27/24yBzPVVTh5YYKGXd+Wcx77Z5h4DNtOT3rc56QZ39rikrTsOA+MQb4fMJ4ahsNKKVS2mGF3WfQ/3mY8HgLISp3zm3czvAPPuLIkSP8+uuv6DIy7IU7Mun1Wl9uy4rW+yyO8HVRJQCK2dZlD9FDFilzlI5nLOefrXG81PM1e+LPsx3aM2PuSORe+auwdD/5uXl6VfTh5VdeZsWyFYBtjnLarOno3Axgvbddcc5ReihUHD9+wsl+eM9e6rZ5lqvpuTdHyA8yiQTlpYv8NGeO3fbbqlXUbdIUt+Yt0ZqdvXJDhvP3odfrwWSktULBmF4vkZCQAIBcLmf9X38xYtbXDtsvXLiQRYsXM2niRG7Hx/P6229Rp3NbLmcRfhYRKSlED1mkTFFaYeq0O64M+fBjhyzcP7ds5dq5hAKPI7+ejFalY8DYt1n2+wq+WzCH33duIKR5BCarTZRKIlkr1aSnQYtmTvbmbdsRqyt4xnd2eCuVnD12zMm+Z8sWQl2zmQwPDKJCxYoOppatWpHs4Uncyf/sYgxgNps5efgwHh4eDttfuHABk4uCcasWMX/nJqL6Pc9lefGEl8uyl1xYxAIhRYsoyCJlhtKcMzboIT4+3vl4mvx7x4Up8KF10eNa35OwthWxVpSilxhKNGvaKgjoqtTktbffQSqVIpFIeLFPHzwaNkJvyT2cG6xS0law8GS6hsfVSuSSnMOiqUYjVerUcbI3fuop4nVZzyMfMJmZ8NNPdHvxRUJDQ+n75pu8MWkKZw1G9Fqt0/Y7tu9g1KRJDrY69euTHhTBZWsG5yQ6Us3F6xmX1cxrMWxdthBD1iJlgtJO4PILNvPm228w59t5dpubmxuVqkcA2ScYPUhRey4ldSN3nAO2UPH1/szp1QsEgWhXN/brcxesigoF6t27eH/sJ5hMJqIqVWL8Dz+yUSIju+rJZkFAUbMWHbp2Zcv69QA0btaMSq1bc82UtcdqFgQ2IqPakKE88eEQbkok/Kk3AAJRjzVALpdjvi/U3al3b25UqcLcteu4cvI//IKCca9Zk10mM8Ldz13bO/vkrKKiqJO8xIzrhw+JcH+MLhs0Gg1eXl6kpqbi6elZEuMSeUQoC8uaMr0E/W1X1iz5kyU/L6Nm7RqM+mQIoXWkWIS83USLUozzI8RGnY6pj3cFYMze9Shd8rbuqSjX+QK0zUhn4HOdHWyt2z7Dk5OncDYbbzeTOmolAcnJWC0WtP4BHMnDA0BW+CnkNElOYvX8+aQmJ/PS229zu1JlLppsAu0ik2G0WrFkcdsrCVEu6qzrohDkwjabKGxv5EehBWNeNVT0kEVKjdL2isExZKcOzOC1Ye3o/XYnFGoBiyIdi5D7Da+0hLigFLUQZ5LyQFlJgH27d/GSxczZXPY9pTeCi5vtjwKKMcAdk5k/3T2pP/ZTVBIJB7UZmE33vGVdDmH30yXgLYtLoURyQhRkkVKhrIlxJmZBj9RDT179jvIixrmJsItMRi2lArNEwmmdHnPugTMnvENCnGyPP/kUcTI5kPMa5oLgo1RSXSZBK5FyRqe3e70CcFlb8Mz40ynKciPKYtj64UJM6hIpccqqGOeXohLj4kzayssa4ZoKOTVP/8fC1/uxdtB7PBkfS6gy/8/ql7y8+XTGDJRK2/kqVa5M/9GjOZdLuLogNJHL8N6+lVkv9mTDh4Npl5qMn6LormFxRRHKImJiV9lB9JBFSpSHQYzLg1ecV0FRSCV4XzzPkPfes9vefbkX89dvIMY9f/ki101mgp5oxfztO/AxGEhIuoPeYiHcVY0gV2BFICaj8EunvJVKErdv47Nx4wC4efMmx3u+wJw/NrJNmf/a39lRnJ5ybl6yi0yNIkOGoII0nDPHRR5ORA9ZpMQQxfgexeUVn81n1axKbm78vniJk/3coUO4yW3P6x4KBQpp9rcKF5mMxq5qGrqoybAIWJKS6NPted586SXeebY9Htu3If99HYnz59FRp8VPUTg/oJpUwooFPzrYzGYzd65cKdRxs6I0PGW3FDVbv91Iv7Z9mPHuVJTXJcgl2V+z0l6TLK5FLjpEQRYpEUpbjGMzJGVKjMsKWouVkMgIJ7u3nx8hciltUpJw37iemv8ep40UpA9cwmoKOXXOnebHvq/y8xuv0zk9lSlDPiL9bkUvQRCYMG4cbiolS3/6ibe6dqFJmqZQY86QSAgND3eyq9zdCnXc7CguUc7qd+AmcWXFd0v5YsYX3Lx5k62b/+TlLr1QJRaP6MolKoR0D0x6j9w3Fil2xJC1SLFTFsS4MJSUEMskUgLVbqSbjaTlsYTj6RQlZl3Bk3puZmTQqU8f1q9eTcbdkpRh4eGENWyI5vw53u3f375tpcpVGLJoEf+YbOeTSiA4+hrvv/OOfZsju3dz5fJlp/MY7jZ9sFgsHP5rO+mtXyRRn3U4uKK/NUt7Jmf0et4aNYqjL7yA6e5a5ccaNUJaMQrMOe9bUIo70SsTWaqEnxf+7GDTaDTcunQTb7+AIj2XIdGVNb/+w4L5i6hcOYqx44dSv6kSJMX/OUWyRhRkkWJFFGMbuYlxpKAk/cQFfl/3O9Xr1KZFp/accxewCgLhcldckrTI5DISPJXcMeuL1Gv7x8WdrzdsIOniJWQKBW5VqpCqUvHtA9Wtrly+hOHqVQiPBCDCzY2ta9Y4bHPq1CmaN2/OgQMH7DaFQoHivoQrmVyBNYcs7muJWQfuMoXaKsBBH3+++2Mjd65cQeXmhjQqir2m4s02Lg5RfnAuWaKQ4O/vT1xcnMN2rh6uRXpeuUTNil+2MXmirb9zdHQ0+/YdYO+B9UTVLNJTieQDUZBFio1HRYxVUiXyOxJSbqfgE+iDyc+KwWq7ceclPO2pUHFl/d9M/vhTADZt+IOVi3/hy7XLsVotLB47lS0bNyKXy3l3yBD8uzxPUS4j0prNbJXIoVoNm8Ei0NJqtXvM96PXm+2CqdNaCY2s6PD+4cOH+WXpMnbv3sWc775DIpEwdOhQvr3bnUmlUlGr1dMc0uV/2Y+DUPub2KZQQfW76lHMYpxJcXvKGW56pn4xjTf63ItMdOrSCd9K/qSTfUJcfpc/6ZMUfD93gYPNYDBw9sw1omo6L18TKRlEQRYpFh4lMU46fJt3Xnub9PR0PDw8+P7n+Xg3DuBQYt7W8oYZpYyf8bmDLebWLVKvRnP1/AW2bNwI2BKXvvnsM2Y3aAhBxXvTPG0ReOODoUwdPdxu8/b2Rh1ZCe5OAcfrDHRo3xnvRT+RkpLC6NGjqV69Ovv27iE+Lo6hI0cT3vwJ9BoNnV/shUyuoGar1vxu8aCwDxT3i3NuIe6ipqhF+X4v2WQ1E9oikt+3ryf6cjRevt6E1AwlXV20jT3kKggJCXZoxAHg4VE88/AieUMUZJEipzyLcX5D1PJEKQNff8eexJSWlsa7/Qfy/dbfQZE3L1DA1ibwQdRmAYnexLhx44iNjWX+/PkA3Dh/HnVoeJ6aPeSXe0Jn4fHHHmfK3PlsWb6UitWq07JHL1ZkKOC+simr9C58uvw3gvSpLP3he6ZNmwZA/fr18fLyQnbxAqvdKuDb+kWsgnDXMy7aIiGZY86LMLdQyJBcv45Bm45fVCUOu7iRnE3N7JwoiCgrpFIiUSO3WIlTCqRmkyeglxrwiPKisktVpHIpuBX9OmGJq5YJU8fyQteXsVpt1+3xx1tQu14IiMusSg1RkEXKHOVFjAFSE1NIS0tztKWmok/SQFDeakrfUFgY9uknjPlwiN1WtVpVDu7bz5y7fYKbNGlC3759WbJkCSFRUVwvhBirpFJaYUVz+RIgQRJWhd/SZRisjoK2N82CKrA2Ncd9TZLBzE/pOnighlmG2cJqrZyuCbfZtGmT3f7vv//SsmVLEg/tI7JrDa6lFX3rxgfJTZhbKGSsGDmCQ/v2Aba57Xmr17DN0zvL2tZFiY9Ugfv5GCaOHc+dxEQGvDeQus8/yxWZs6i7paqZM3k2a1atQSaT8d7gQXR5qxsZrkVXYEXASvXm3mzbvZ5LZ6/h6e1Bo0Zh+AaLYlyaiIIsUqQU1jsuT2IM4B3kjbe3NykpKXabr68vKj9vIG+Z0lqzkdAnG/HDr8s4sHMX1apUIUOTxqT7kqoOHz5Mx44deeGVVzBGVUIwF1yQnzYbGf7SiyQlJQEQEBDA2MW/siTN+XZgsFg5cSfNyV7FXUVDpYUUZJw1Srh05pTTNqdPn6Znv9dZbyjZ2s3ZCbPk2jW7GAOYTCbmTZ1C16+/4b8CFCzJj5fsH5/Oqy/3sffbnjl5Kp+6ueHe+XEyzCZ72FohVXBo6wHWrLIly1ksFr6ZNZuGzRri0zww32PMCavUQFBNCKpZAQA/14KXGxUpGsR1yCJFRmmJcWHXGBcmk9roY2H2wh/x9fUFwM/Pj69++oHrqvwJZgxGblUJQNW3P/4tn2D69On2UGImEZWrUGvQ+xwthBinp6s5+udWuxgDJCQkcHXfP3jnsVzmC14grJzL6A6tWPpWL9qkXqdGg4ZO2zVr1gxFxeqkGou+jnVeeDBbW69Nd9rmZnQ0boWINuQ12/3mhcs82FhvxcKfCcIx6c9D7sbm3zfxIP8d/ReVNOdzlXaBEJHCIwqySJFQmmJcGAp7E4u7rUSbls648eP5adEilm34jdgoP/SW/IlQZs3pBL2e/6zw+sCBDu/7+vpiqRjFOUPBkomuJUq5lijFUyknNvq60/vxN6PxyIMgV3RXcXbdMlb8vBCz2cy1q1cZ3OclwiIr8Ob/PkAmkyGRSOj50ks06tSNxcnFGwrOjczPDeAXVclprr73gDe5QPa/oWouKp4RLLSVCESoVQUeh7u3l5OtcrVq6CWO59ZadDzZ9imnbWvUqYnRKnaJetgRBVmk0JRlMZYiQ5LNz7ywYnwtzZ0z67bwbr/X+WDwYN54/XXee60/Eab8/bd60MuKMRio1qMnY6ZOpW7duvTs04cvV/7KnnxqW6YY3e8pXtNk0Oq55522bdKuIzfTc5+jrKe08PuK5Q42q9XKxQsX0Hbqw2d/bGfmH9vxfGMYXyRYC9Q1qji4lijlmKs7369eQ8MmTQgODuajjz8mrH177hiynlp4Qibl7FezeKdtG/7X7hn0a1ZTX+78m8mLl+xVLYrGzZra/3Z1daX/h/8j1nRvzvZEkgKDxcDTXdvQpEkTu737C92p1LAKAmXjWooUHxLhwThKFuS1ubLIo0dZFWOJVcWt03oO7z+Bp5cHjVvUwTPSiIC1SEJ7J5IU1DSreO3J9uj1jkI2f/UKYir55XqM3G7kHgoFlZRykq0C0Tl0TDLrdKzr3AGA7hu3cFOb89KVem5yKkefZOGXM5HKZAwYOpIzoTU4rc3dq2/prWL3mEEcO3LYwT5z6Sp+VQTnun9B8VMraOQC6cg4lGIosNBXDhCoo1bhKli5IEiyFWN3uZzgPbuYNma0g/2rJUvYFxbpJI15mUuuYlGhvXoDQ4aeoCoVueYhQ2dx9Hozlz95GtxIjk5CrpDjFu5Bujxv87uFacUY4lpwwXdXhBZ4X6W0UYH3LS/kVUPFpC6RAlNWxRjgypE0nu/0on0eNiQkhHV/LiHOs3DrRx8s9CGTOYu7RJL7+PLiVaWZTPybxZIcD4WcWjIZZgmcNJgcFhFdvyNFlkvDo/+0Zi4H1aH7nKUIEvgj1YQuD2IMcDDVyNufjOfDl1+wP4h07t6DgIgInjBIOZBiLHKvuI2HFOuhv/j5h3kEBgfz5siP+dMlhJgCFBe5nCDB4p97JCDC1YW//tjgZL9w4l88K1Ym9YHvJS8JXpdkBqhiS8xKwgqW7JdpaVRaZFVVCEA6YrLVo4IYshYpEGVZjOVmD7787BuHpKjY2FiOHb5YoHNm8qAYx7jAh6NGOthq162La4Xsi3bkpT9xTtSRy6lw+CCzX36JRW/0p/mN6yj0+W85qDVb2Jls4O8kA7ochOFBLILAOokfU9duZvIPi1iwai1tn3mGId06sWPEO/ST3CFAVXTP+T4qBRzbxcxxn3Dz5k2OHTnC+y/3pK2QWuBjZlea837i9AYaP+k8l1uhenXSzaWTpCby8CMKski+KctiDCAIElKSnW/YBn3eliFlRVYlMFNNBqI6P8WcX36m74D+TPh8Bp/Mn81FadbnKWz9aaVUisu504wbMoTo6GjOnT3L+31fpaUluVDHzS9JBhPL0+UcCanJob17GDLoPZKSkvj3+HEG9+7Js3kMr+aF+q5S1ix0LPFosVhIuebcwCI/5CbKyUYjtTt0oF6DBnZbh65dkVWvke2a5aKoL16WOoGJlDxiyFokX5R1MQawKrS8/9FA3uh3rwuRUqmkWr3qmAqQGJPTTfImRiS1wmj82AC0ZiPnrVl7T0Vxs67k5sr6X35xsl85fgQfHx+Sk0tWmBuqBL5avMjBZjKZSLtxFXyrF8k5NIKEsMgKXLp0ycGudHMv9LGvJUpzrO613Qr9vp2DKuE2MrmcBB9fDhYwy72kyG9Na5GyhSjIInmmPIgxgICFxk9XYvHyBfwwdxGBQUG8/u7rSCrIIR9LR/LqrQgIJBuzLixRlF2Z0ixWwqMqw65dDnbvgMAsG0EUB3Gx92721yQKwiMrOKxpBpAo3R22y4ngkJwT7E6k6HnjgyHs37Mbo9EmhnUbNMAcXhlSC1/DOidRFsAmwJ7eNkMZF+PSQkzoKjpEQRbJE+VFjDORuunxbhHG5FbTMWMhzZyOpRjEOCeKUoyvJUq5hp43XnqFjWtX28t1VqxUGffqde39houS3ET17zgDH44cx9B+L9r7Erdq245YjwhIy9u1fvAcDwq0FViLLzPXbUJz7TIKF1eMYZVYXwRinElunnJ+KKm+ySIPJ6IgixQ7pVH0w7a0yUqyOf/JP2VJjB+c6/zV6MbEVRvIuGbrXSyEV2LV7aKrcZxXzxbAZBVYkh7A5OWbyIi9itLNk1iPcH6PKXgBi8zz3y/MSQYzvxhUEFDLZihCMRYRKUuIgiySK4XxjktPjAtGYcW4qL3iB0k3WVhmkt2bo02l0I0R8iPCTvtmmPg2QwFUgzQgrWgykO8fU25h7aKgKL3kwnJ/O0aRRwtRkEVyRBTjvFNcXnFxUBgRLmmy8prLMmLYWqSgiMueRLJFFOO8U5bFuI6nmu6+cipblcTHWsqVGN9PcY+7JB6ERERyQvwFimRJYZO4CkJ5FOPCFvrI5MGa00WBFHjdWyBu7lSmPP8MN+eNZngFM2p5+f1vH1eOHyhERHKj/P7PFCk2SrOncUEoTTEuCorDM4uLtVBfquCH0UPY/Ps6tFote/7ewZSBr/JiaPkI/eZEcYmy6CWLlCbir0/EgfK2vKk8i3FxeMXxcfc8yAhLKieOHnF4Py4uDrUmvkjPWVqInnL5RlyD7IwoyCJFRnkR4xNJijIhxsWNRemCq6urg00ikSB3LXyVq7JCcYhyUXw3efmNyCVSKircqaBwQ5aHhiQiDz+iIIvYKU9JXIUR48JQWDEuaq84LtZCfFzWorQ5Sc7wSTMcbO8MGcFuXckJcpCbktcjZbwTbqF1sEuxnKM8esqBEiW+J6P5qt97fDfgA0Iu3MZPWnRL5kqKwlTpEnFGXPYkAohinBtl0SvOTYhi0o3s92vAjJUb0cbH4OIbwFH8OXWnZJbk1PJS0CL5GF98NJq0tDRaPd2WQR9+ynfXcl837a6U0S1YiosuGYuLJxsSZSRkZL82Ny7WUqTLopQZSlpJkki5FYNXSAjXvH25kkUrzIIgAZQXb/Fmv/5225u9XmHx+rXcCfcoknOIlE9EQRYRxTgXchLjYIWCujotqTG38AgI5LKnN9eyuHHnJMYSoIG3Gl+Jlf/0cFuXs2DmxyM8m2rmbKobUBXuABRP68AnAhTUtSagT03CNTiStckutFUnM+Kj/9m32b1zO8Fh4dRo/y7nkrOvLuYilzIoQMOkgW8QHx+Pp6cnn3z5HatcKxFXAqIc5qqg0tl9DBw+xG4bNXkyoa3bEmMs/MNMkIsHf6yc62Tf+9dOqr/1IhpT0ZdBzY0Q16LtYS1SMMSQ9SOOKMY5k5MY+yiVVDx3mneebc/w119nYOdOyP7ZQZjy3vlyC1F7K+UMUKdzbvoolg54kSr7/6CTZ9bbl9UlPy39FQh//cyYV7sxcdAbfNKrA6+oY8iIv+m07fZNG6jvnnNFrC4hcmZ8NJD4eFvymUajYeygN+nmXzLVq56QGfjsk9EOts/Hj6emvmgaeOgtJoJCnUO9fgH+GK2F+37LS6cnMaEra0RBFilRHhYxBqhvMTN+yBCE+0pXfvbpp9TQ2W7ceQlRd1YZ+LBXD/7ZsZ3o6Gi+njqJ21t/I8z13rlLS4gb+Cp4PyCV182nGKSKpb3EiOxyitOrgT6eFT/Nt+9nNpv58uNhhAYFOh2zfuMmXDfkfF28zencuHHDwWYwGDAnJ+Q65qK4Tla91qlZh9lsxqTVFvrYAClGPW26d8Hd/d5cvp+fH/Wfehy9pXgiGCLlAzFk/QhT0t5xWRbjCIkaeVwyRr0e94gQfk8TIJfeyRKdzt51KROr1Yo+VcM1a0Cezqu9cQWdzrF147IF8xnRqQe3Mko+YUl2OQWAMB8XamsOM2LscPt7vfq+QdPHenPouqMwGbQap+PciI5G7urPqwMG8suCeQAEBgbS473hfHY952YYGoU7YWFh3Lp1y25TKpXIvf1t9bJzIT+ha7lEQhMvFa4SK0e0VlKNZjQeflSrXoML58/Zt4uMjMTq7w+GovHSr/gp+XHTOm6dvYhUKiW0ZjUuuQtgFUPHjzKih/yIIorxPSqaFfw++Ute69iVt7q/xIgXXqW9kLsQar08qVW7joPN39+fDM+gPJ9b4ermZAsMCuZWqqTYxFgqgToB7lTwUjt5u5m0ryTl62njHPZbueQnGvo6931WeoegUqkcbO07dWHjBSP6Gj2YvnA9k+auYOBny/nmVu7JcRtiLYz6ci6+vr4AuLq6MmH2PDYkF20WcqiLnFett9n3ySBWvv0yTc/toZWHlO3JJobOnkeb9s+iUql4qm1bJi9cxEFT/rzXnCIsBouZc+6Q1qQqqY0qc9bVgslaNppb5BUxw7roEQX5EaQ05o0LQlGLsQQJ1U1Kgs7F4nfqBjX1chRSGfpL0axfs86+3Y3r19mx9BfC1Kosj5PJUb2Rkd98Q6vWrQGo36AhUxctZWt63h8+UgMiaN7qSfvfUqmU9z6ZxLa44smEbuir4H+qW0hXTCZq9yI+bKrAy9X5eikwk5HhPGdqMjgL8ppzFj7/YTnVa9REKpXy3PMv0PaVwRyNTufIjQzmHbey4KyaxcfSMJ5PchL/B9GaLHyf7Mt7C35n4pLfGfnLJtbIa3ArPe/eaV4eZtpaU3m/d0+OHDrE1atXmTpqOO5nDqOWS/kxVUbVoZOZtWMnrSdP5Q+JDJPovYoUM2LI+hGjvCRxFYdnXF0vZXTf/ly9fAUAHx8f5v+2ijM3nT/Xsf376fP2QG45vXMPiyCwESltp86gW4aZGKucn1JNWPLgXWeyNdVCh0+m0z32KtrkVDzColib7oneXLQJTLLLKSjlUlrKkxg+6HW7fc3yxYyft4Y5jgW9OJuqonXbdvy9fZvdFhYWjl4VADiGqBPTjXxzQk67D+fQ1x2OxFqYczA9T2OyVPbO8r1Ug5mfowG8IAmgaB9QpMCdS+ewPuCVrl34I+2+eoI9STqOpepJUlgBsRViUSImdGWPKMgixUphGkbkl5zEWC6RcvXwv3YxBkhOTubPX9fQqv0zTts/26MH1/MQohSAjTczxaJgorEl1UJcahhIwyAWilIA7vdEm0d5svKniQ7vZ2RkkB57Eakk0mH6cvclDW+/PpKIipXZ+ecfNGjSgnYvvcW3h7MWWqPZysYzqQUaX1aiXMFTxTM+ZiTAX8lyrmlyXwokl0roEabAKz0eucqFoyZPohVZPxxZAZW785rfkIhIUi2PlicsLnkqO4gh60eIh33eOCdUMjlxt5z93Utnz6GNqMzH06bh6uqKRCKhR69eVGr3LMl5WHNaFMU+imOuOKuwsEUQUCidw/ASqTTL9LX5h9O5VbEHPcYuRtpiIF/uz8BoLvp5zgfH2i5IzmPn/mD6y+2Y9nI76p5eT4eg3H2H/0Va+W3Ea3zarztjenVAse0nnvDIYf13xWpUq1HD/rdKpeKFgf/jVOq9pDOx2YRISSJ6yI8ID7sY55bEpTUbadCyuZO908uvsEeThveTT/P55ieQWS1cU7uwS5dzJjAU/mZdLEJ8NRWpImtv8uAVDe8N+B8H9++123x8fHAJroZwI+s1tlcSMriS+2qjPOOhltOjlgsyXQJyV092RMu4lGCbl5ZdTkFa1YeopAuMnTHFvs+cz6cx8dvKKGVVMWbjvVb3VnFo7XwuX7pot61Y9COfP9MOlFknH/2WCq999SOq+OtEeLqRkJCAJjGBHuEe/K6RYBZEzzE7xISu4kEU5EeAR12MM9FWCODbhQv4YuJkdDodbw8Zir5mTUwmCwkGAzsBkEA5FePcMFsFNsf5MGvRWk4e+BsvHz9Cazdj4YmSqQyllEkZ+BiM/d+LJCUlIZPJGPrxJJTBjTgTZxPliqkmTpze4bTvkb+3EtWtPufvZL0WuLKbhO17dzvZk2NioWLW4mEFftMI9A8I4q2Xe6DR2ObGwyMi+eiHJazQOH7HPkoloSolNw0GUo1lb165vBQFEckeUZBFsqU8Z1RnRYJgRNkgiklrfyFBJ+O0xUpqAeoTF0aMi1qIZZdTkJhyf4DI5OJtPV/flhIc0AmdyULqobzvW1ieqe7Ot5PfJykpCQCLxcJnE8cwY9EGzsTZtklI09Owai2nfSvXrse29OwfHE5prLR6tjOXLn3tYK9SIQIfDytHBRfUEoG6ljQEi4Xram/2pxqJdFdzYN0vdjEGuHkjmqSTR1FXaobeYgvRt5VKOLdpAxu3baNVhw40fKYdOx+xueaiQEzoyhlRkB9yCtvfOL+UlYzq7DBaLfyeYqYgNZ3Lklec07KhvBCXWnJCnEmYm8DZM6ed7LrURMAHgDSdGc+aTahZpx5nT/0HQPVatfGp/wSpN7L/zqLTjHR4pgdPnj3Frh3bUSqVfPjREJb+MJe///6bz776muNHjzJ00UIEQaD1M+3oMfxTLsrkXL1yyel4SXFxuFaTobdYaahWsXDYEA7u2wfA4cOHab1vP89Mnsy/upKvOy3y8CIK8kNMeQhVl3RJzIJ2bSorYlxYIS5NLqdKaNysOUcOHrDbpFIpLj5B3J+hvvC4lh4fzKKPIhkQSPEM5ccbuUcy5kcLtH5nCtMGjaYCaYwfPZILFy4gk8lIuR3PkoU/2bf9+69tNHy8FfGNn6V9rz7s3L7d4Vg1mrXgyN2qXB5Jd+xibN9/+1/0Gj4clOoCXImcecy35MLhBcmwFuePiw9RkB9SyoMYZ4dUIsVL4YneokdncfbkRDHOHS9XBd1rqpBm3EHh5s2WqwLX7xStV9yigiuPeaSgTY7H3S+EwymeHI7OvgHD3xc1DPloImnjP+D8ubN4eXkxevIXbLrieH1dFDJOJcLNJDWacHdIzVqgvFRyKvm4cDVFR4re5j3/Hacn3t8Lxao5XLhwAYCAgACio6Od9j/415/UfLIrtyJqMH7WbBZ+9QUurq68NWIMB12DIcN2TJnC+fcmkUiQyHO+fdb2Lpk2l+UFMVydO6IgizhQ2klcrjo1l/ef59uV66hTvw7P9uiIIdiCFdtc3qMoxvn1il2UMt6sbWLs+31ISUlBoVAwetJM9vjX4Epi0YhyzWBXfG5uZ+SsGXbbByM/pXLA41xOcK7mBbYyzV8f1NHxo+/oK9dikrmw5pKJBM29Mb1Y1w1lwin+O7SH5xs9jiW8MctuOi+1ejVcivnMXo6s2kb7Vm1wrfcEi27YtotJM/BsgyZs/G0tAImJiURERDgdo2nb9pxJ15NksOBZsQmv/PgrZomE31JN6DPuhcdvuHvQ+7XXWP7zz3Zbv7ff5qqrG+jFkLVI0SERhNxz+zUaDV5eXqSmpuLp6VkS4xIpBOXBO85KjF1kavYv3sX4j8fbbSEhISzZvIx0b125EuPEeCvPhKoJV8GuO1YupBTsxp0XMbaa9ETPfRmAyHdX0LNhIGsmv8H169fs20ilUqYu/IN5R4vGa3u7kYpP+nd2qHQll8sZ/+Mf/HisYKLfIsodzc45bFy/1m5r1/E5gl7/mH/i7l2/J4PUxP88ib82b7TbWrVpS5WBU/gr1nbuNyIkbJg2nGOHDwEw+uOPuR59g2VLFgPwROun6TJ6IqvzUMukor+VhnIZqqtXuH7uLBVr1kJXMYrj5pwftgrqIRckZF3QDOuSDFk/yh5yXjVU9JAfMsqrGAMoNTK+mP6F4/FjY7l14QZeTf3zfR4oHTGWaGR8WUXPsX1/kZiSQu8GDUivWpMvLuZdlAszV+yrMDqIMdztQqVJBO7dDCJ91XQN1qG5E43KxYM7pgB+35+Up3MIVVycyk6azWYkloJ7jHW99Yy5T4wBtm3+g2kvvcM/3KuqVUuaytL7xBhg947tPPvWEP7C1qzjpxsCXUd+xQv624CE1MAgXK1SvnypL1azmVtuvqxOybtgHjNbkERUwC2qMvvNZoRcxLg8IM4flz1EQRYBSl+MAZBIUCqdBVQqlxXIOy4NMY6LtfBlTQvvvdaP2NhYwDbfuHTZMjpVqMam67n3Dyx0BrVeSc1atR0ymhUKBWrvIECHLDoVtVJGj5pahrzX1y6szR9/kq5dR7B+/51sj10h2JWOjykI8ZZQvXp1zp8/b3+vTr36xJo9eLDWdZ6RZP97kksldApVEWLREOWW9W9IInO8na2/ZQS8AQhW2rzOf7mbhJUPMc5EANLNYr/igvAoe8f5QawL9xBRUO+4tJO4MtG5G/lkwicOtpq1aiLLYv6vuCiKNcYxF87YxRhAEARmf/01dWMP0yYw+2fgB0tIhnqrea6WJw0j3bPdJyu2nk/nf2M/JyqqEgDe3t58N+9HVOmJvF1JQ9cWfrRp4MucWRMdvNwDe3cRoLSJsVQqwUXlOFYfDxUdamoY8W53Xn/1BV577TW6d+9BUFAQ3Xv2pv+oz9l0poBiDPyXpKJL9xcdbB06d+WsxoWPIi3s+HQAn7zUnoVfzaBP374O23Xt2Yt/LeV/Oq0g4WqlVIlS6tzGU6T8IXrIDwklvd64IOS2xMloNVL72fosW7ecff/so2LlKMIaN+CCLOswqJ9UiW+ClsRbMfgGB5EW5Mltweb5FNQ7Lij3J2+ZLc7hTK1Wy7Ytm2ne1ZOdhDrUjvZQynhOacKzkQsXUxXsuqzhlfpuJJ74kw0/r6JarboM6/ce845ZSTfk7qEZLVZmHzHxwnvf4q3WUaeSD0MHv8Xly5cBaNKsJYNHTOXnuFinfU0mHS89GY6b5SbJd+IJiazO3ktK/ruSxrONPPls0v8QBAGz2cyYMWNo3Lgxs79fxi9/pzHn1xgkAJFeWY7r8Sg3antmYLWYuCPx5fdTGoeGFgeupfNCh7f4pFkrzhzbT83HmmIMqM1tnZTlM8dx9rTN49+2bRt9+vThm3k/cOjYcSrXeYyk4Jqsi81/uFwplWAsp20VpUhRxcvYu3U3K69coXPXZ6nZNBiJS9ZJdSJlH1GQHwLK87zxg2Qo9Lg28OK5xt05ekfgvDVrAfJUqNDvOkGfQYPttjETxxPyfBt23cnbDTZCraKa0QgSOKtQsu9mwdZ/PphJ7VO5Jmq1Gr3+XnJT9+7d+eKLLwivVguvKpH2ZTohbnJeFqKZ+clQYmNjafFEKz4eOpHt635h+eIFAFy/fp3D+/cwdPZqFhzJQ1vD6FTMwLrLUK+KD/u3fmMXY4DDB/eRmhRHr1f688O8e5Wt1Go1NapVZ+bU0Rw5dG+t8KQZ33AjIQB3lZXExESHcx05coQLl2+iVHjT66lALsWZOHo+GcsDotylpitXtsxjzO9rAKhZuy5vj/6SeYccS2GuOZ2BWhFFWP1arE3SoYvL4K2mnvy8x7Es5tKlS2nVth13WvdnX1IGxlyy2eNiLQSH3PsNPukhJTjhOndu3iCgQhRXfcM5mFa+5oVdkhT06/aqPRrz88IlzPvxW558oQpWIeffsjh/XDYRQ9aPMGVNjO/nQIIFkzX7zkKh6RbGDR/lYJs+fiKK23mbG2wkl5G+Yhn/e6YN7z/TFsOq1TyZQ2eg7MhqWdPsGBd+Wr2eF17oyeOPP8748ePZv38/Wq2WWpWjkNxd2CC7nEIPZToj3r0337x/z26WfzeFpPibDsdMSUlBSMmpO7MN2Q3HkHGQt5zLF886jzvmBn7V2jPog5GEh4fzeKun+GLOcq7fjHEQY4DZn0+kfSMvzsfCE0+2dnjP09OTujUi0J9bxHfjXyblxPd81C0AdUwasmhbCrNUAkHGG2y8K8YAZ0+f5PKBzYT5ujiNTW+ycDk+HZ3Rdm2jNVC7bj2n7W7fjOYZ5Z1sG05kRz0PBbdW/sjwfq8wfcxIhvZ5CWHHeqLcnDthlWWiz113mBoBmDrxMywa52tamojzx3lHFORyTnmfNy4oJm0GGRmORSisVivG9Nw9SIVUinD6JPNnz8ZsNmMymZg363P8os8hzyGx6EGyW2N8R2di5GUl7wwdQeXKlZk2bRrbtm2jffv2nD31Hx0Dpfa5Yn1SDOYHEoW2//UXjz/+uNNx5aqsb7QPivD9HLuYRqfnX3ayewVWYNWuRP5Nb0zP9+dT6clhfPVHGgaD85IljUaDi1LCnpN36PHaSDo91w25XE79xxoyb8Fypk36mI0b1pGamsrWPzfyxYT/0aWFLSteFp2Ku1pB3I0rTsc9fmAXFXxzF8EdF9MYP/0rpk2bxqhRoxg/fjyzZ89m/fr1XDzwN/4u+Uv4q2VMZcWihQ6272d9TlNp9kVN8ktJFAURsmiamYdVrCJlGDFkXY55GOaNsyJPGdX+3tSqU5szp+5lEoeEhCAJCABjzvOsoS4u7Nu2zcl+fM8/hPauT3R67nNweSn4ceD8NWQyGcOHD0cqlXL06FG+/fZbJjfqaN/GxdPXab8qVatRtU4DB1vbZztxzeQD3AvxZnqgOXUovpOqR1K7EW+/+yFLFn2Pr68vg4dPYOdZ2/cSeyeDDfvvCZHEJQQ/Pz/u3LmXad2v/0D+PqlFEOC7DbdpULM/4zq9y41EM9dv6zl4YL/DOa9evYKX/N5DQpreRFj1GjzI4207sTc+92sd6Knm9H/HGT969L0x9euHWl2wspVmg/Ncs9lsBrMJKPpe3HklvwldFWpWJDg4mLi4OLttzNjhyDx1FPW0uBiuLhlEQX4EKcuh6rwub7pq1TFp7jfMnTydv7fvoHGzZrw3fjxbzTnJk41Eg4HaDRuxYa3jmteqdeuzT5+7Z5PX6lsS70BWrlzp4MlXq16D20YXwHbzPZjoyjsfDOf7r2cC4Orqygdjp7P8kpqZC39DE38dF08f4iQhrD9rE+NMIc4rv+1LomGNdvy4vAdaPfy4OZY7qVlHElb8k8ynM39m77ZfuXjuJO06v4jZoy7X7luffPxiCsfvth0e8KwfCoUC031ds2QyGTKlC6BHIoEoo5VbsjAGfjCcH7+bhdlspsNzz+NZ40kSj+ce0WgfJWXGe2MdbIsXL2bcuHF41W3BH7fyJ2QanyBq1anDmVOn7Lan2j7DdZUXPNAsoqJ/7r+n0kLnY2LNxsVs/eMfLl28QpfuHanVLASrkHNhloLMHxcUMVydP8RKXeWUsh6qLk4xvp8wuSvmNAkJEhmn9PosgnhZ08QoYfGowZw6cQKAhk2a8uKkL1iby6qd/JTC9HdR8JprHNOHDSIuLo5q1WvwwfhZfH3IhNFy70b/WKgLzYMMGNJSUHiHsOaciTvpWT8YZCXGVrOBq3+8DUDUc/ORyh3DwB2b+KDSHGPpz/Pw8fHl7fdHs+mUC1disu4tDFA10pMQHxX/XdGQkpZ99nLFEHca+pxm5tRP7bb3h4zhkqkRKrmEVlV1HN67Df+QMB57oh0JaSasFhOnklTsv5b7mmyAtxoq+fj1Tk72RStW8U1aKLczchfk+xO6pMArXlaO/76Kw//spFWHTlRu35Vfs3jOKaggFyRkXdAKXTKJErlEicGa+8MNiNW5SoO8aqgoyOWQhymr+n5KqvjHtUQpEqC9txzPpDgkEkjyCeGvlJxviAWpS+2plNE5SIpnairxRjV/nkt3EOO8kpNXnJMge7kr6VA5mqkTRtptEomEz+euZs6WvN3Ac6NBVU+aVzKTlhyHm1cgR68rOXVNy2stDYz4cIB9O19fX4Z9tYL5R/I3V9u6qieXVk9izz877baw8HD6fbOSX6LzJmL3C3ImEa4qIlRSLustxOuyFtDyIMj5RRTkkkcsnSnihCjG9wp/CMCfKWaQ3i3JWQxiDKAxWvj178z52IIl+uQ3RH0/jap58fvKxQ42QRBIiruMXBaMOZ8Zyvfjppbz6tNepCdcJOW2Ge+Q6qzYnUFymoa2jQJYssAxCz4pKQlT4hUgOF/n+fuihoFvfUxExUrs/HMjjzVtTqcBg5mdQ3/kvHAjw8CNosvjspOdGIfJXXFP1SFRKohxlaAx3Ys8iGIsAqIglzvEULWNkiz8UVAxLmwJzMIIcSZ3NGYiIitx+vRpB7uLm6ddjNs+5k2UTxq69GQ8/SPYfMLEtdjclapfW08mD3+VlJQU2zFdXJj+7QpmbzAgAada1wAUMAt43qF0qlZ7mZeffxMNShKsGbweZuGITs3RhKJtK1kc1DQoWDh2Kls2bsTd3Z1Ppk4ioFVDEgSxRaPIPcRlT+WIsp5VXdbFuCBlMcuzGAP8eymZ5158E1dXV7utZu26GJThALSq6038f8sZ/cGrTPz4fYYP7E7HWlo8XHP+Xrzcldy6eMQuxgA6nY7Du/+gQogHe08l8+qAwQ77eHt7owioVODPcjFey3WtlaDzO/ny1Q6M7fE01jVf8npE2b6N+SjUbF/6K1s22hpipKenM2rwR3jEppTuwETKHKKH/AhQ3tccFwUlKcaFpajEOJOFO3WM//JXdKnRyBUqtJJgVv5yFakANZ+QM3LtCvu2giDwxdTRvDb8J1btup3tMdVKGWmaZCd78p0E3KsquG5I40hMADO/XcL+vzcREBxK9fqtWbQpEQILXne5OfGMHD3M/vf6Nb8SFlWZkJpdiU13TD5TyST0CZchS4hGbVai8Q+zTVPkkaLKsPY1S9j023one/y1aAh2Xg5WXIjh6rKPKMjlBDFUbaMw88YAbnIZVkFAV4DEqrxSGO84P2LcqJoPlUMUnL2eztUcttOcTeSHs5klL3Vw39YGg3OmdXx8PJ7WnOc045N0vNSxFRLJNw7FKNp06Mm87TahPnFJw7+XoXJYL2K1Rv7amLfWjtkhlUDKrWtO9u3r1/Bk827EPpCj9m64hc/eeYn4+HgAGjVtRreJn7O+4P0vciWr+WOtXELDpk24edOx+ppPYCBaSrb/sUjZRhRkkUJTHsTYXyWnk0TD9eOHkSuVhNRrxDqDC9ps+tqWdKg6P0KskEsZ1NmPP1bOZe783TzxZBumTp3K2LH31upKb+a8pEiplPH044HUqO6Fu7s76fdVOOvSpQfnLxsZ2NqTjLQbSFUKJG6RLN2ZhPG+dd6b/pXw1bzlrF42D5PRRM9X3mLPZVd8PU10aeKOYNIgyD3ZcDidpFTbPG+At5oXmqjQxl9DoXYlVR3Gr//lLdvbKoC7X6CTvW7jZlzPcPT+orzUHP9joV2MAY4eOki3K2eRBdTCUoIVreJMGfT7YBCH9u23F/F45fXXkFQMpqCJfiWB6B2XPKIglwPKundcEhQ2iasrKQx+oau9gIWHhwdTV/7G4nTn45ZlMQbo2sKfLycO4upVWznKP9av5erl8/Tq1YuDZ9OQynK+yVeM8OK1nm5MmzqW1Uvu8N13c/j++3mcOXOGbt16Uq12F9zdLIwe/iparc2DDgkJ5YNx8/lhy70KXpdjtHwXJ6HR48OQSyUs+CcJT3cTLzbSMW7EG2i1Wjw8PJj42VyW7lORqjXS90k5Hw14HqvVitlspkHjJrz4zlRWncx+TfT93PKqQMfne7D5d1tRl9CwMJ54qT9fXndM7Ap1k3Phv+NO+yfevIFrSB3STCXrYZ7zlDBrw6+k34xD7eaKLtCTG9b8d6cqKCVZDESk4IiCXMYp62JcUt5xQcj0jit5urJjyXyHalJpaWlcP7wf93ptSL/v5lzWxRjAU55qF+NMTp8+zfPPP89B5z4SDnh7qXjvNT96vdQNo9Em3P37v87YsWPp0KEDZ86cx9NTya4dS+1iDBAbG0PqjVO4qCLQ3dcC0mIVOHTmnkg/18Sd8SMH2PdNS0tj4pj3GTJ5GZFBruzY8BPjx48nNTUVtVpNXFwc3oZbgHeePvuGWAtteg9jaq/+mA169N4hfHvTAg+UhDmZqKNL914cOnTIwV6hbn325UGMi7pCl1mwcl5mgAo+NsNdMRbD1SL3IwqySIEpD6FqAJVMSqLGWfj0GRkopFLAdoMrDjHuVtuNANMt9GkpeAVXYHuMK2fv1m8uaPKWTOmKVCp1WFakVCqzXmb0AF3aBXDs6H67GINtedLkyZMZOnQoK1YsxdcviMzSnvejSU1CrazoIMhOmNIcwt8AycnJVPI3cvzAdpo1a8Z7771nf69x48Y88fSzcCHXoQPgIpdSVWXCFHMbJBLU3oFk9RipMVrQVm7KWx8MZfG8b++WJB3PKc8w0BZu/XJ2lERDiZJCDFeXDqIgl2HKundcEhRWjAHOJ6fzyit92bThXqarTCajRosnOGiwCU9xiHHHGu4cWT6NPX9vt9umff0DMWmhpJ9LzHa/3Nh9xsy7g0fw3VfT7bZBgwaxZs0acB+Y474SQYNU6pxxHhUVxa1btvaOu/7ZyqjRk/l15UqHbapUb8jWnxMh3CPb41vlnvaKRJn4+/uToU2hcePGfPTRRw7bHzlyBKNRD7iSG5bK3rwdamLamy/Zm18EBQczZO4yvo12/ky/xVqo1KAnk/54ARMSdmVISNIWrOd1eUYMV5cfyvYCvkeYklxz/LCFqh/EChz0COPrpStp2/5ZOj/fjW9W/cY2qU+ej1HfT8XrFRS0DVEju3u5cgtTR0gTHcQYYNaUj+kUVLj/dhf3x5CUVo+ZXy5j3MSvmfnlMg4cOMDFixdz3Vd2VzB79eplt8nlcgYOHMjau802mrV4mqOnJUycPJsaNWrQoEEjZs1ezJ+7cvcA/zikYeJn8/D1tXWxCggIYNqX89n+1zYEQXBYtxwZGUmLFi0I8PPlg8dMvN/MhUr+2XdwCnJTcmnPVodOVPFxccQc3YO3Omvf4kqqgVXJFn5LNpNkKFtiLIarRR5E9JAfMgriHeeX8hKqvp+LGRauKEOpNXw6JkFgYYoW7vYhzs07/l9FKft++YrP/1hPjdp1GDZ6Ij8ctpJbwNlsdK4glZycjGvuLYAdkMskPNfcHx9lGjKTgl0HpRz5N4kj/wLIsFpiuXx8f26HAUBnkLFpyzp8fLwZP348Li4uBAUF8cknn6DT6WjUqCnVaj7Dj8tu4Oamok3nqRiMVn5YfhuTyRYSl95Mo8HTYTSuaEKrScDdO5hd5yScuZ5GksbAz7uV/G/8LyjQore68f22VF5s1pbo6GheeeUVfv/9d4YOHcq1a9do3bo1vV96Aa1Wi0wmY8qML9jqX4Mric7XzlutIDb6mpP99q1ovKrISdE7h6KzqmGdGwWZPxbD1WK4uigQBbkMUjKhahkZqW4k60DhZcBSxkr4FaUYZ2IR4GSy4/xmbmLcMkjNn3PGs+PPLQAcP3KY0a+/xIhv17LgaM4ejsQ7DG9vbwev8OU+/dl7Nn+lHgc9F8A3Uz/g4sULyOVyBr0/Ak+POhz7L//rel2VSezZsxuADRs2APDss8/y7bdzuH7LyKXrUhYsvwGAVmti2z/Ov6nqVbwJNB9ixKBpdtsnE2eSmlGRWwkZpKYbWboj4e47thKcJ+N96Fzfg4sXLzJr1izeeustpk2bxpAhQ+wJYBaLhY9HDmXeyi1M2eU89ktJWgZ26MrvqxxD6Q1at2dvStkvn1lYSqp2tUjpIYasH0FMBjU7NyXxzJPv0KHlK2xcdByzxiVP+5bVUHVxVeKqpzLYxTiTtLQ0rJrYXPddedLA5LnL6dSlG1WqVGHwkI8Jr9eVizccK1NUCHHn5daBPNPIH6Xc8XM8VtWbLavncfGiLevJbDbz9aypNKqT6+mzxGx2Xmqzc+dO9u3bg14vYcuOmFzLTbdq6sKcr2c42L6Y9intH8t+Hnj/mVR+2iWlXccXOH/hAnq9noCAAGJjHa+jxWJBSE/I8hgWAY6qKzLx63lUqlSJqlWrMmXOAvZJQ/PcdrOsUJBwdUkgeseli+ghlzFKwjs+dUxLzx597X8P+2gU33t8S6selbBStHNUZb1xRG5oBDkBAQEkJDiKhMot9zak6QYzn+8307B6f9o3V3DkcjrxV+44bPNyaz/izv7Jt+MWExFZgfcGf8KKAwJh/i5UDlYQ6qLg0x+d3UVtegKQ/4cjqSIIX19fkpLuede9e/dmw4YNvNIvbypvMmY4ZXTrdDokQvbrats18qWCt44rt5KpXquuPUu8evXqnD9/3r6dWq3GJyAIyLqwyYFEE2eUtekwcxkC8Eu8ifSkosuafpjC1aJ3XP4QPeQyRMkkcsk5dPBfJ+vCH39BbnXPcc+CeMf5pThC1VmR16zqTQkCw6d+gURyL/GtzxvvcCwp96xgsC1t+vdSCn8eTiA+SefwXoUQd+LO/smC778hNTWVUyf/46N3X2FIVy9STnzP3Am9+WvzXGbO/AKZzPHau7kH5On8D/Lr+ji+m7uUbt26UatWLQYPHoxCoSAxMRGTNW+9znVGD8LCwhxs9erVQ+3mmCQXEeRG32eC+OSVCM7u+JrR77/E6MGvMHnCp3z66acsXbqU0aNHU7VqVQACAwP5evY3bLrm7CdYKnvb/61WyKjnbiX4xnFeMpxkUIQVD6Xzb7Mg88dlFTGZ69FA9JAfAvI3d2whKMjfyVq1WmWQWR6sr2DnUQtVZ5KiN7PBozKfLfqD9MSbuHr5cTLNk0NX89dIVyaV0LahH2HeZjJMCjYfSaV5dVfmTvjFYTuz2cy/R/ex/a8tdOjQgbCwIDZt+oP//W8wX389C7lczvuDR3PkZMG8nwydiYlfXmXskMGcOLqVhQsXEBFRkYlTfmDekvgc9w0L8UAqlXDoRBozZ37B3LnfcezYMR5//HGefvpprBlx9m2fa+aLKXYXsz6ez4cffsg/O/+yv3f+3DlS07Q0aN6K1PQMPpv5OYl37uDuE8DRJHd2nnduWgEgAfpHSFBd3s/ffx2mRo0aHDt6lL//Hsn4n9fy1Y2Sz+J3keX//4UYrhbJDlGQywglt+ZYoG6TGlSvXo3z523zku7u7rzxTh+MQt5qCueF8h6qvp9raSa+u2wCgu5a8ibGmYU/ZFIJHzwfwPdfjuG/f48TGBjI6PFfEBrhQWRkJMnJjgIkl8uZOXMmy5YtY8+ePXTo0IH2z3YmMKwpUqmaf/anc/l61qKVF8wWK+M/P0OLxg0ZMupxrt4w8PWCW1gsWYt8gJ8LLz/vzfEj2zGZjPTo8TKjRw0iPDycN954g2PHjjF69Gg+Hv8ZUmkw7i4KXPVnmDZ7JgEBAU5NFQAO7t9Lnf5fsjdGQ9xlHT5uoSSdNGC2Zp+73jNCwZoJgzj17wm77f3338ff35/zu/4kqE4P4rUFDx/nJ1xdRy7H+2Y0cRfPEVi5Ei7VK3BdVnaEVgxXl09EQX7EiM2Q4BqqY+lvc7lwKhqjwUTVWhXxibJgLULvOL+UtVD1/eS3LKZCJqFTsIKAqu6YBDVpRgULvx3Lf//aaivfvn2btcvnExoWRr9+/Rg1apS9rGf79s8SFhbG4MGD7dnHK1euxGy2IvHowb+nbtnP4+vjQvun/FErLayTNebIkSMAJKZkXz/T37smAIIA+w7fZt/h3D9Pry7eDP3gZfsYTxw/QLNmzVi8eDHbt99bZ+3uHYDVKlCvijdb//jcNpbERCIjI52O+UT7rvx5+Q6pGbZj3tZknyWdGa721cQ4iDHAggULGDhwINFx8bgrZcTfrfZZnOHqCLWKhHVrGDdzpt32Up/etBv+HresOWd7F8XaY4VEjT5FjkItwapKJ9uwVj4QveOygSjIZYCSrMiViToog3r20LUhWzEuCKVVACQ3SkKMZVIJHz4m5+spH3Hhwnk8PT35adFSvjx80GG7xx9/nBkzZrBn927GjBmDyWRCoVBQo2ZjEm5fd6gjDbBu3Romf9aXf0/dITTYg5ZNgvDziGbq5P6kpKTQvXt3WrZsyeXbRlo2bIhBr0Wu8uaXtWdIuHMvQSox5axdlHPDzVXB00+EYtBdwWy+lzh16tQphgwZwq5du7h27RoAPV7sQ3SaH5BMfJKeytVqc/ToUQRB4NChQ7z33nssWLAAk8lEz959EcIakZrHhhKZCFn8SC0WC1KplGYduvJNsi6LvYqeanod/5s1y8H269LldHn9VfAr3iiPIdGFlct28OP3C4mIiGDc5NFUauyK5b6uUaJ3XH4RBfkRoqQqcuWXkvKO80tBGka08ZXx07cTuXDBljms0WjY9Mc6oqKiuHr1Xh/i5ORkAgMDuXXrFhMmTLDbZ3yxDA935xaDQUFBaLUC7/SN4PyZHfy95RDNmzfnhRde4IcffmDNmjUMGjSIaqEpfDxiNGDLWJ7++ffMmHsc/X1VqrITZR8vNU+28McqCBiNVvw9olm7+mMCAgL4/PPPmTVrlj38vGXLFvr06YMgCNSsXZ8tp9VsPWoLo1+8oWFw15f4688/SEpKYuPGjXTp2p1FKzZxNc3CgTgpq07mf3ok3TuMylWrcfnivcLXAwYMoHqzVqzT+SNkUX8bbLXMn/aU4alLQ+fixs50HBqKQD6zqy1mhwcUu9lkAopWkO/3jhUSNSt+2c7kibb137GxsXTr/BLbdv+Of7WCn0P0jssOEkHIvTGoRqOx16f19MxbJqZI3ijL9arLakWushqqBni7lpIxAzs52FxdXflhwSLefrM/Wq0WiUTCmHHTCAgI4qP/vUHmf8Hnn38Rv4ieACTFrOO3tSsAkEgkfP7lAtL0ASz5cQiXL98rkfnSSy9x5coVjhw5QlRUFE2bNmXlfTWoq1atRutOQ1i98aTDmBrVi6BtyxpYrLBzXyrhISoiAqP56YevkMvlfDRkKGtWr2LPnj2AbV573LhxjB07FqlUyowZMxg+fDgAk2bO5+d9Kof1yy4qOb1b+2DVxiCTK0k2+7F2TyKWSK98Xc/7s6tlEng7AuKO/M3F/47TukNnpJXqM++yHuN989/3h6tVMin9lOlMHTyQa1evEhQUxLhv5rFOGUyK8Z6o5keQG3m4Ydz6J0cPHWLz5s0YjUbq1q/PyEXfcUnI3ksvbLjamupB+xYv23sqZ/Ljz3Np3iUcKJh3LApy8ZNXDRU95EeEkmgeUVYTuUpKjGXRqcSFBFC9Rk3On7s3j5uRkUGSwY0xM3/FoktA5erNrnNWjPEWZs76lTRNDC6u3ly96cKOPbcBaP14d2Z83okMbQoe3mFs+Tud1s2THcQYYPXq1YwcOZIjR45Qt25dewg5k0uXLvJKkOMSrX4963Pr8k4+HjEGpVLJwHeH8liDBrzeb4R9m48+/IApU6awd+9eBEHAbDYjk8l5+513qFK5MnPnzgXgqadaU6lCCL31F1C7epAhC2XlP3fQGcz89GcCoMA2x5l/MX4QiwBzo8G/QjuCaz/HD0kZGC7kHKZu6ylj0htvcuOGrfpYfHw8I97oy6drNrPqbpQ3P2JcVy5Dv2sXP//4I56ensycOZOU9DRqPv04Z3IQ44Lw4NyxXA0RERFOguzh4Vak5xUpPURBLkVKY+44rzwsoWqVTMpbkQJC/FVkMjkZfhVYdtNMNgnFQMHFGGDbsTsMHjGVT4a+QXJyMjKZjGGjJ7LlmJ5z0enYFu+kUifKg6ergTb9Dh6eEWzeqSH61m06tAki1F+DLuMmMnkoJ877cuaCrZqVtKVzMwylUonZbMbPz4++ffvSu3dvh/efad+Rw//dW87k4+2G1BTN6lXLAdDr9Xw1awpfff2107FPnz5NhQoV7CIvkXlhUXVAptLRsetL+AeEEBUZxKu9utq9/Lr1GtDztUms2n3H6XhFRaLORKIua2/zwWQu94xUuxhnkp6ejjnpNsicpwZyQiWTojh1ktFDh9htH374IctWrCDxSjRVqlbkkiLrLO+iWOpkVaUzbvIounXuZQ+ZP/5ES6rWDSOvmf8PInrHZQtRkEuJshyqLghlNZGrm1TP9Ld6kZhoa3dYqUpV3pj5Iz9EF0/ii9Fk5Ye/dHwwcSkycxJytQd/nzJz6da9OdNqEe5Ulp5g2EcTAZBKpUyfMZe4lAjOHFvAN5vvtYmcOPlrbt/xIPFOBqlaD9q0acOOHTvs7w8ZMpRKVevwxhvw8ccfM/3zeXz9xQRu3LhBm7btaftsH2bM2Wffvnb1EPbuXu407mtXrzlV8AoMDLQvyYqMrICZEHbtu8WufeBRoz6PB3vz69Sh3D/rdfK/47wsuU1Bqog9yP3h6oJidHHHz8/PoUOUUqlE5eUL+ZzGruriwpqFPznYBEHg4P79zJ8/n1p16/Dht59zSZZ9xbK8knUhEIHKTTz4a896Lp+Pxs3DlWp1wlD62cRYTOYq/4iCLOJEWfKO66rVBGhSkMhkHDJ7AHlfZxrqquL05lV2MQa4cukiGeeP4uLRGJ3ZOVSZk3cc4KlCKpEQn3pvaUu9UBee8EonI9yEi2cQG47oiE3UsWR7ZqlN5+O1qaNg5LuT7X9brVamThnJDwtW8OWU9Q7bzvpiPO8PW8TydRlIJHeoWbMmLVu2JC4ujsjISPbv34/KPZKZd5fgfLXgX55/eSwBvmqOnrrtIMYA128m0bhuIw4dOuRgr1ylBkrlve8kPDyCJ5/qiLtXGGqVK8jDWLrG9jBoDfcgNd2IiwKSkpw9YZNRDziGUQsbri4oOzOkjJs9h5Fvvo5Op0OhUDD+q2/YZXEBTPkKV2utVsIrVuTIYce1Yq6urhiNRo4cPIT2yg2o6uh5F2UhEAsG/KuBf7XMSmkF84xB9I7LIqIglwKid5w3WkklrJ88gb82bUIikdCr32u0efktdqTl8SaqlXPt3Bknc8KtaDzrN0dnzpu4+7sr6VPTyvkjO7BYzNRp1oYVF2T4usqIStjFiFFTAFvi02df/8SSfUo02RSokEklBLhonWpBp6SkYDQ631xTU1NxUdsyo1XKpsyZMweZTIa3tzd37txBEASatLyXRJauNbBsnXNp1Exu3Eqi13MtqVx5G5cvXwKg9dPtiL0TyOCh32MxxiCRSrFKgvhkxmWsguvdgiHOxT32nkmnd9+3+Orzew8XLi4uuHhHAPnvRHU/BfGOs1p7nGo0s9E9kknr/sR05zZKHz92WdTEZBPyzomrGTpeeecNtm7cSEaG7buKiorCaDTaQ8j6jJJZevUgonf8cCAK8kNMeV7m5C6XE7P7b/7atAmwhQZX/LyIKS1bIfOtjiWXxQFxsRaSZen07d6Lndv/cniveuPH2ZriLJjZecd9aloZOaAHRqNtH/m8b/hi4Vr0FisjR0+xb2c2m5k+YRhvjl7Eyn+y7ljUqq4vcTGn8fHxcajQVa9efZD44O/v7+DRd+vei+17bQliB4/H81yXbmxYv86+TWhoKBlGdY7X4kFm/XiIPi+OxNvdhFrlRXSMklUbbt23hYWsBPhB4u5kYKncjJFjp7J+9RLCI6N48dV3WXXQMdxaWt5xJkkGMysNElAE3Q1T28SzII0krga48NOW9dy+eAWJzsDlS5eZdXdNsqurK0FVKpJ8X6GOoigEUhyI3nHZRBTkEqYsJ3IVhOLyjsPcXNm97S8n++X/TuD7bB0S9Ll7twaLlWuBNRk+cRoLZ3+BSqVi4MhP2ScNIfOmnBuBnmrOHf7LLsYymYyePXuizIgjLDCc8PBwh9KQt2/fxk2Z/bGj3AVmTv+MsWPH8uOPP3LmzBlatGjB8OFjmPz1RSZMXsDGDT9x5vS/tHv2ecIrPs1XC7YBcODYdd7p8xxhYRXYsX0Tdes1pMWTXflszp4sz9WqeSUa1PQjNd3Mb3+eI1Vj894sFiuLV58AyHORkEys4R4Of286lISPRyV6vvcNNUOtbN30G9U9vej0XEt+3pFGWkbJlJMsiUYStb2N6Cxwzh1oEEUlixIPTSqVKlWiUtUqvPHRYK55ysFSsiU0Re/44UEU5IeU8uwdA8Rk6Gjeti3//L3TwV6pTn3OGnK+4d2/zOmv22YCQ57ijR9bY7LCytsWUrNo15eddyyVgMVyb/spU6bwyy+/sGLFCtzc3BgyZAi//fYbJ0/a1vk2bNyU63eyvo7Sm2mcvaCmQYMmjBo1iu7du/P888/z77//cjsJ2rUO5PwVC94hfehS+zX+O6Nh9fZtDsf4fukxwkJ8aNZmMFdvpjJl9l4Eq/PnGTawBds3L2bCL1sJCgpi6PAJrNh0i6vR90LJ+RXj7EjVGvFXJvDKC/cyvD08PPj082XM23zvfA0i3GgSYAIETiar2H8166yqokjmesxdTs2MBLR3EvAICWePxJPruoKtO86OKzIjHs89wdjObdBLBc6aMgotxqJ3/GiTL0HWarVObeBE8o7RerxA+6WbYnPf6AEyCiDI+oz8fbf/JcvJq6eZiVmXtxtOsk5Hg5YtafV0G3bvtGUVd+/Vm/TwKhiSc05ksRoczxFn0LE0h14MsqupZHV7rh7kSpsKJgKrNsXfYxRnzpzhzz//5NSpU4Dt/8OkSZOYOXMmw4cPp+XjrXj5zVHMXheDNatapBYDB47cZPCbA7mdEM/KlSvx8PDgu+9+5MzZoyz6aS5eXt68/e4Itu+Ff88cdD4GcPPWbW7eum3/W7CaHP7dsF4EB3evZcf2rYBt7e2oEe8xecYCPpt7bwmU1WKgWaMg6lRXY7ZI2L47iZsxGtzdlXR9NhSVXIcVFzZvT+B2ohZrmAeYnTOIG9YMYN2KbxxsaWlpJMeeRRJREatJT5faniQeWMrHS39GEAQ6PPc8vboOZPlx52YSVsO9edgQdxUAselZZy7XDvQgOEDOmSSNvfxrLU81sr/WMORLWz1tiUTC9Hk/kOpThTt3IytmnfM3LgFaubog3LqJYLWgDo/kH4MRk9VKTW8jxiymh43oskjbs1HPx4w+nzlXGbL8CXKwq4A2fxVIkSgKNs9tkubzRCJ2HiyFmy1CHkhNTRWwre4XX+KrRF/dunUTPvnkE2Hs2LHC008/XWLnrV+/vvDRRx8JUqlUAAQ3Nzdh8+bNgkKhcNr2s88+E0aPHi107NhRkEgkuR5bJpMJL774ojBmzBj768FtpkyZUuCxf/TRR4JarXayjx492uHvoUOHCu3btxcAwcXFRRgyZIjQoUMH4csvvxQCAgIEQHB3dxemTJkiREREZHu+p556SnjiiSec7MOGDRNUKpWgUCiETz75xOn9IUOGCF5eXlkeMzw8XJg+fbrQv39/4Y033hCmT58uhIWF2d+vUKGCMHPmTOG5554TnnnmGWH69OlCgwYNBEAYN26c0/G8vb2FDz74IMtzKZVKoWnTpsLkyZOFatWq2e3BwcHCpEmTSuV3L74ezldqamqOWisKsvh6aF9VqlQRBg0aJPTq1StLgcrpNW7cOCdx7devn9CyZUunbcePH1/gMXbs2NEuJPe/shPVvLy6desmPPbYYzmOMzIyUhgwYIDTNsuXL3cQPkBQqVRZPjRkvuRyuTBt2jQHm4uLizBx4kQBbOLZu3dvp/3atm0rNGnSJMtjfvbZZ4JcLrf/rVAohBkzZtj/njZtmiCTyRz2mTZtmiCVSrMda6a9Z8+ewrhx44QxY8YI33//vTBhwgShbdu2wsCBA4UpU6YIrq6u9n369+8vREZGlvpvWXw9HK/cBDlfIeuYmBixlnUBKalwdVwBQtVX0vI/DWELV+edsylKJEAtdzeCBIEYJJzLJYxz/U7+qnLFx90L9/WuoCJ593qWLP6J4JBQps9fzEqtP9FpjqFP2dWs++9KfPUOBS8AfvnlF379fROX33yN+Ph4pFIpgz4cyUlNLaKem5/tuKS30rJ9T+7lR6TyD44fd/x9ePlGUPGx97mdqMk6/H0fgtVE6rWFtv0q9mfPGRWfftiTMSMGkp5um6d9+ZXX+PeyC96V3sbPqzrtW0ewfeMnTscymQVu3brlYDMYDKj9quf4GXff9OTLuUvZ/dfveHj60LBNZxb9ZyHy3RUo5VKqhMfDcseCJI+1aM02fW0iG9vCyJYoLwAivFw4fWyVQwMHk8nE2Ws3aDpvJxkmCzdv7MBicQzv7tq7l1c27MNTYsDHZ65DFnuzli1Jf7wTU3a0Y9esL5kwYQIBAQG88cYbzJgxA4Dt27fj6+vL4MGDmT59OgDXo6MZ88dSotOSySv1fPI3jQNQySP/c8fB+UzmcleE5PscAEppgwLtJ3IPjUZDaGjuc/f5uqu6ubnh5ibWTc0vRutRFLjke790UwxuyvwtaXGV5F+Q1Zb8CfKJJAXKPH4cqURCpNSFCImUYEHg608/5cDePbRq25ZXhw1jM7IslzBdS5Qiy99HR6qy3dRC3ZVkHN7Agm+/Amz/GYa8/jLTV27iG6PjwKWKrOcmVT4+KJVKe3Y1QL3HGvLPaXhrzEJU1mTkKjd2n7NwPjodqVyV/bhk2WeEn7uUzgcD+rB9+xa7eA4bPhxvTzVP1NURGVWHC9etbNx+Idtj3I9EqsBilfHVT/8xdPS3CBYNSpUrB/9L5sixW7zQ+VmsVoFbcUbqN2jGhQuOx1WpvQgLC3MQZZVKhcLVD6k8+3KY528ZuBADVSP6kGwws+uwFZAgVagxAVrvGnTq2oNN69cC0LJVa9wqN0NzPAOpwvZFCyrbdyNXqbFYnQXKarUiV7kgCCaUalen9108PDHLFGzJsDJjyQrmTxrHv8eO8kzHTjz3v6EsThHokxbPnxs2ANClSxeWLFnicIykpCTk8nu3xed69STRYkTpkvf/v2rX/Cd2ubrlT5ALklntpsj/PQhAKRXv+YXlwYfH7BCzrB8iylpmtZtMQdhNDdM/HsaVS5fo0qULTRo24O/tf7Ft40ZuXr3GGz8u4JC+8KUG78+sbu4tYdWynx3et1qtpN+6CpJ7mcU5VeX6/aKV6d8tZNqYD0lISKB23Xq8OWIqs3+Nw2L3WB29a28PFS8+7o5BE4NS7c61FHd2rI/OdewLf01k7MQl6DNiqBAZyprVi/j8buUtgP5vvEOdmhGcOpv3aElyipbZC+9VlGr6WDj/61uZ1SunIFco6N3nPXx8XuXg/l1ER18HbN2mDp0wMmbsV3z68UDu3LmDm5sb46bO5vcjOWcnSSTwfMsAfBXJCGoZGoUP/1wz2quarT2t5fE27zG12+sIVitXDZ4sPq6x739/ZvX1VD0vtuvCsgXz7QVUZDIZjZ55jp0xtuOFPtYcDw8P0tJs0Qe5XE67Xq/yk8Y2zp8srjw+aTYvSs2cNytYlKKnor8V7YUU+3lMJpNDdbJMFAoF7u7uDBw6FO+GtdAIea8OJ647FikMYvvFYqasV+XKryDnZ91xDa2E157pjMFwT3BfeOEFrly5Yg/RfrdxE3+7OD6BF7a9YqtgNde+HcG+3bsctpny4zLmae/dmHJrIuHlqqBTNTWu6Ik1urJ92w3M2XSlkEolfNjFk+GDXrFXcWrfsQtVa/dj69/xWe6TFQNeDmDUsF4ONplMxieTfmT2T0ey3Eewmki5Mp/g4GDe/WAaZmMaalcPtu+N4fipGKRSCcPfqsOo4QMd9vvqm+UkJLvgqkxFplBx9qKEfUcS8HBX0qVdIHJZOoK7N5uOaElI0Wd57kxee8aPld9/zOmTtiph9erVY/BHQ7ljVHA83Z8D17MX9KyWOUW4y3nZM5X9m2wedYtOPVie6sVNrS0cXCVSSXeVjpvHDmEyGKjUpDlbBG9u57AkrqK/lXYGHQM7d8JqteLp6cnQoUMZN26cfZsKFSvy1bJlxAhg8DSjMeXvYbEkBFlssVj+ENsviuRKca87vn012kGMAX7//Xc++ugjjh8/jkqlQubqakt3yAMyCTzlrcRfmwxqV/aYVMTonL2XvfF6hn8wkmOHD6HX24Sk5VNPc9srEu7e0PPS0Sk1w8TyE5k32FRkObSIalHbl6U/zrCLMcDWzRto06ZH3j7cXayC883ZYrEgzeVZy93dnWHDhvHJJ+/aP/OgwcOBUCxWKXv+2eK0z7/Hd3Mpvilx8enAvXnutHQjy9bdvFsEJPeuTR6uCjQxJ+xiDPDff/9x8sQxfv75Z94b+jGXPeuQoMm7uN1INzMz3Y2o1m8DMDNGB5hp7KuguTQR/c0YzEEh6Bo/zWmdlT16C5CzGAP85+HJt78sZfqokcTGxmKWSFiyZg27d+0mOCKcsEZNWGkwYxEEapucf1seChV+KNBILCQ9sA5K9I5FCosoyGWQh6VmtbuXl5MtMjKS2Fhb6HX0lKmcVKrAcO/Gl5auoruPgEqwcMys5MJ960/7eVmZN/wd/jtxArVazdAJk/Cs/QR/X3a80VsFWJDkzYTlm9DFXEPh6kacexhrY/KfbJNJZnvF7Aj2lrH5wjknu16nIT+dj27fcaH+Yw3598Qxu61jpy4cOZWzMPbq1Yuvv/7aLsYA382eyeTPfmLHXjl+/kFO+3h5+5FxtfBVpYJ8Xbl84ZST/erVq4SGhjLniyn876u1/HLMWZBzKwJyNeWe6FXyVFLp0g5GTriXjDZoxCiCn+pGmilvwhZvNJESFs6HK37FVbByQSJjvV6P70u9uGI2c9ZiBQRqezuLcTWjguPr/uSntb/RpGULOvfrzVl3AWvuQcYsKYgYi1W5Hm7yHxsUyTMFDVeXBCVRlSvGN4SuL75o/1smkzFp2jQee7oN8/7YSHrz5ty+T4wrKRS0vHKYz17syIiOT2H9dR5dPG0PGrU9VWye9w3/nTgB2Pr4Thk5nEbGrIUqUWfi22gpC8yVmKcJ4rf7xLgg/Y5z48ilDLp0dww1SyQS3D3z551s2n6Lbi9+wLuDhtCyZUs+HPIx9Zp058DR6znuFxgY6NT3F8BqsnDjloaGTTs4JGT6+voSXqEhmrSsvdYHS2TmRHRcGg2aPOlkr1u3LpcuXcJgMKDIzcXPA+28DMyeOsHBNvfzz2gs5Jyt/2BVLoPFyn69ge0GEzfuPsAkGYwYLNlX7wqRu7Bm1nfMnDSF06dPs+iHHxnWdwBVLbZkvqLs6JTtGMRQ9UOP6CE/BJRF7xjgX5OJpoM/pH2vl9GmJONboSJ71K4kmu7evIyOHmvFxNu8++H79r+XL/qJD8PD8W/amcpyC+seKCMJkHTjFlA932Mraq7HptOqTUde7pPO6pW/EBISwkdDJ7Lp7/yVahIEmL3wEMGBXjxWpy9RlX2JuXWBt14MwdUjnHm/HEeb4ey9nTx5kqZNmzq0VVSpVCjV/sAtlqxOZPyUJWg10UgkUlSuESxelfXcdn7EGMBotnLTrQrvvD+Uhd/bKnb169ePCxcuYDQaGTRkFNuvOo853yUyTXpMJkfhs1qtmHRaIOuSrAUpkZmVd+ypMbD219UOtuvXrqG9EQcVvPN9jpIIVYuUP0RBLibKchOJkvCOM/nXZAZff9sLwJS1JyGVwM0Ll5zsf65ZRcfWXbhhkdCk5eP8tXmTw/uu/kGQ6LRbkZJTuLphVU+aVDSToUnATemBf92XmfBEb5K1FhavvYG2gM0V4m6n0qROTUYM6Wefh/fx8WHYx1/z+TznkpqbNm1i6tSpIJFx6OB+wsPDGTFqBis22NbPpmoMzP8lBolEji3CesvpGJB/Mc5k64UMKgW259MfO1IzQMaxQ/u4cHEbY2fMJtG9BtHnHR9MClKvOt3Xl3qPPWaPkgBUrlKVDO9ASC5eD1Uil6FWq9HpHOeNFWpVlt6xBAkeeldSY1JwcXNFEiRDR86JcTkhesePBqIgl3PKqnec1yYSmVgF8Apwnues1aAhcSa4mGbgzQ+Gc+HMaaKvX0cqlfLusNEcFvzJTz3togxXV4twJ8R6hBGD7rVgHDvpc/48VpHY43FO20skkJfpRn/vmlSO8mH/no0OSXHJycncibuIh7uatHTHm7vVamXMmDH0f28p3V4cQWqahJ9WxaPVOopFTufPToyVcimdW4YS4ZVBenoa6VYfftubiNFs8z6FCl48UcmTQFfYfNnEj0fSCfNpTHC3Vqy+lYruVj4LOgNPBympbk3CajaR6BbEAYuFnclG3pnxNX/9NI89O/6i2RNP0vmd91mckvX3X1TeMUCsm5QRn37ChNEf221denTHHOzD/QlxmbjGKXjv9Xc4d+4ccrmcTyaMpcVLT6BTGMRELpFsEQW5GBC94/xzLVFKtdAo2jzbgR1/2jKCAwMDeabvAH5Ks4nP4nQFA35cgTr5Ngo3d/6848KZO0bkUgmdQpUEm1KxKl3YnKzk1n3JYI185bSQJaFNiMH9sUAOJLpx7GbeCuy3reJK1SppZKQl4eETyq7zMs5ct92An6wp5+P/TUOhUNC2bVvUajVzv57OhxN+5uf7Cm9Vq+xJm5ZKkpNu4OriRarOj7Ubc15T7OaiIDXOuTqUNl2DWuXiJMhgE+W/98aw60D2RUryy1P1vHm8ioH9u5bz+Y8/AhAZWYHhE+bw1e+JeNUMYEAdC7/MGcdfly/StWcfnmrQgWX/2uZ1qwZ7cPZWKqb7MtRz8457hEg5t2QGizf8DkDNOnV5+4tvWZYqZVGqlOqvf8S7b37AdbOUnzQG8pymnwvZiTFAqslA6LOt+KnGKqIvXCIoPAzXahXw8nEWYw/cmD1jFufO2ZL8zGYz4z8ex9omvyGtlr8HVRATuR4lREEux5SEd1wQ8usdZ7JVI/DkkHF0eOMdzHo90pBIlmqAu72YjFaBP5LNgC9oIS7ZdgP9sIKV78e8xZlTp3B1dWXoxOkc8G/EuVQTVb1VRF3YxshJn9rPM+TjCaQGNOdyQs6i3KKiK6kHljLqviIj46d+TaImhNvJOiymDGrUqMHrr7/OqlWr0Ol0DBo0iGDfew897m5KnmqiZ+gH/ey2Zs0f57l2Q/hjW/aifPp8AgN6vcTWrZvtNolEQtUaDfj1r3sFP/y9a2K1GEgBpFIpIUHupKYJ6A35yyjPyjv281ITyBluXjXy410xBoiOvs7mNT9Q96n/0TzYwrA3X7CHcud/+wVvDbIwqnUnDu/YyM1Dl3i9Yw/OWiLYczUjVzGWScA34QJ/3hVjgLOnTnJh6x8EtX6ReJ2B82kGzufyeYqiveKDxGKACt7IKjYhXhB4zDfrZDKJVuDvHTud7HE3Y3mycXiRj+tBRO+4/CJmWRcxZdk7LggFCVcXhl2pZlZJ/FnnEs6aFCsGa9Y31sxCIM0D1fz+3WecudsSMSMjg0nDBtPO1VYFqo27jm+mTXTYd/aMSbSJzN3rqOeVweoHKn59OX0s7RvaxEsneDFgwABGjBjB4cOHOXXqFBMmTECfGotCbvuv9cyTgcz+yvH8Bw/sJcBHQ3YEBbrxSo8wvL2DmDPvZ5o3b0nr1m35+ttl/PmPTYQzX5l07tyZTz/9lMrBx+jaJo3e3fJ+U84uVP10fU9+mjfLad4U4Ojh/VTylqJPvOH0fqC3G2PeeZkFc7/mz80b+XjwACrqTuHtmvtvyVMlJ/aKcy7BsT27CM/D/lC0oeqsyKrU6/0IbhKeevopJ3tUheB8j0v0jh8tRA/5EaK4w9UhEhXqmCRc4qLxCY/gpKs7cdkkcd1PQSpzZVLLzcq0ndud7Onxt4AqCHqtQ5MCsIUQMeWeYGPSO3tAGo0Gtdz2MLDzpJYn/J0zytb8upQ6td7h+H/xeLjLuHPHeWmW2Zy1AFSv7EWT2onMmPg/tFotLVo8wUfDprFuczzf/ZyQZaOJiDAPKkVVYvz48XZbw0ZN6PLsaDZszflBL6ckLosVlEolrq7OdaOfbNuBMwkWnvR1rnOsUqlISkpysC2a8yUvzF7N2hs5X/cUvZnImnWd7K06d+VEWtb7tvGU43fnFmZ9Bqqwivwnl5Fhzvs8bX7EOJOcljmloeX90R9w/ux5zp8/b59DDq/pARSsF3FeEb3j8o3oIZcBHoZCIEFSFf8uXstrnbsxcsAA3unwLJUvX8BDUbwe9hWdjEZNmzvZ3e4Wwrjj4k/Vao7LoqpVr0Gi4Fy05EHMbkEEBAQ42J7t0InTN2yiqEk3IlM5HycwKBRNmu0mv/tgMq/2fcvhfU9PT5SqrL2lp5qrGPfpR/aG5vv372Hxoq8wmy3Zdn1q84S/Q0gZ4NjRw/h7p+f4+XLLqN5+PIV33h/F5s2bGTZsGGq1rQlE8xYtaNq5L+fitNy0+vNU2/b2faRSKYHBzqKgUCgwPzB8lUxC4xBPKnrda3ogAOfdKvDu0JEoFAokEgnPv/gSXs2eItXoHIZ/1lPK3hkfM6JPT8YM6Mf4FzvTRp//JLKiJiPIyLz1P7Bu++9s3LuZXu88jkSdPzEWveNHD1GQi5CSLAQiQ0naDTVXDmWQfkONjJwTeYrbO/ZISGfOrK/sfwuCwKShQ2lQRAk393N/3epd8TpeHf6pvbWZVCrlw08msNfsC8Dvt4wMmjmPDp274u3tTcfnnmfQhG/YcDr7kHEmq07pmPnNEjp27EhQUBC9e/emU6eO1K1oCyzpDGa8w+oSHHyvrZ2rqyuPP/MCl6/aErKuRWvwCX6KIUM/pXr16nR+rhvTPlvMyvXx1KzmS8umwbjdF4pN1zhnZ/+9cyu1qmXfcUcmxSkKACAIWYdureEeeVrelJZhxOBakw+Gj8PFw4cFC5ew7LfN1O87lTmHbGK/6ZyW+j2HM3XOEsbN/I4ZC38n3bMy4RGRDsd6c9jH7Lhtwl0pw1Mpo02ggn5cIGnuUCrs+YkhkWbcFLbf6I7bZu606cHU9X8xc+MO/AcMY31q1r8jz9ir7Nm5496Y09JY/s03VHHNW6uwovaOMxEQSFWlI6msQBdkwiItfjEWvePyjxiyLofczlBzbOstBrxuq1vs4uLCwiXzqd82EEs+OtMUJdpU57W6d+7cQWE0gCT7h4HChKvBtlzqq5tKXvtuFeq028hdPdipdeV8ku06mK0CX1yT0OTpDxj4wodcuGNl1r6cPcdMdEYLicl60tLS6NixIwcPHmT58uX07vsGVSO6cPGGhkV/JfH+pz9iTY/GajHj5leRn//WYg33QHrTloG7blMs/n4VadN5GrcTDfy0MoEBLwewfetyTl+4wvNdXiEuOZwde27j6u7nNI4GDZtwLYdQ7+6DKfTp04dFixbZbVWrVkMiCwAcP2te1xkH+rjQ5wk5a5fP4Pf4WHr2HsCeZB82708HHKt7rT+rBTxsrxsWFDINg6b8SPLlY8TH3qDOE605porgDXkasScPYTWZaOJTixHTxtvaPO7cyR+rVzJ84W/Mu9sc66rWyFWk2HyG7Gtg6zQpTrYLp0/zdB70rLjE+EHEZU4ieUUU5CKiJJO5NLekvPXGIHvdYp1Ox9tvDGL7gXW4BBeNIOc3mcsrPMTezSSTVq1bc9vFDfQFL4iQF/RmK79EWwEfSAZwvgbHotM4lksnxIaRHjQKtKK3SvnzkonbGj2apBj27NnDnj177Nvt2LqRV4f15OINMJqs/LQ1EcicZ03K8tiJdzL4a5ctlPrmK2GMHPaqPSx95MgRRo2Zgq9PMP+dk/D2wI/44fuvEASBoKAgXun7EV/94FwWM5OLV5J5tl99xo8fz65du6hatSqBgYF4uKWhkEsx3V0vnJ+iHz1bqPhoYE97ZayTJz9k7LSv8HCpQpou5wxuk0Xg+yMZuKvq4NbsKXYkG/ggIp3x/brbez4rFAqmTp3K8OHDAUhJScEccxmoTHCI8wOcTAJNvdT4SiycMEi4dbdamXdklNO23V59lcs5lMEsScR61SL5QQxZl0OSElIdugqBLdkoOdF5TSSUzNrjqy4CX69YSaMmTVAoFDzXvTtvTJjIqWIW46LitYZumPbM5ZPX2vP14O509DhP3RAX3Dz9nbZt0LAZ0QkFrwxlyLhlF+NMflk8lyea+nLoeBIJ6Y2Z/sUqJk//mYGD5zNvcWyuBUVSUlKYOXMmWq2W9evXM2nSJObPnUar5ra59PxW4EpLvOZUpnL14u9pUSHvzepTw92JSTfgpZJz8/g+uxiDrRfxgQMHqFWrlt0mlSuyFGM/lYLXFRr2jf0f3/Z+jsC/VvD83an7vQpfZv+8mNDQUJRKJW/9730in2lPsjHnB9OS8o7zixiqfrQRPeQioKR7HgeE+ODj40Ny8r3CEYGBgfgHewI5F9ovLo7dkSJTu9Jj9re8abUQLZWxSZezGBe273FREe7rwq3DG9nwm61WsUajYcLID/hswRrOXXfn1dfe5pef5wMQEhLCc73eYdZvztnV/t5qujZ1x6y7g8rVh61bBG7ccg6Py+TO0QdPTy90BtvN+NS5ZE7ZG0dl/ZD1ICaTCa1Wy8GD98pqxty6iU+ka4HKYcoVzjkJPv4BpBnzJhj3rzeWSyUYdM6JVjqdDpXKdp4KUVEYA6Oy7KD4rFLHB9162KuWzf9qFv0NRip2eY2r6QbUFSsxYs1aVFYr5yVS9upzbvP4MIWqRR4uREEuh7gFG1myYgFvvvYecXFxhIaGsmDxHNT+BooiUFfQtccWQeCEXYSL35vIK7mVy3wsWMGGheuc7Gmx0fzzny+NqnVixtwOmPQZGGR+zNnkvIzJy11J72ZmRg/piU6nQ6FQ8OnkL9mx152bMY4PSUZLEJWrVOXypYt225tvD2PhqtsF+4DYlhopFAoHr7bny6+x/1zBHtAs6giiKlXm6pXLgK1TV++3PmTW0dyT4R4s/nFHZ6JasyeRyWZisdwTqZf7vsbew0fp8HI/XKs1YKNZQlZVtzJuXHPqq/3r4kV88sKr4G9FZ4G9urIlfiUVqha944cLUZDLEZlLnSyCiUpNXNi0exkpiRn4BLih8tVhzaKmc1ktlVmWuKERqFO/EdevO7Y4dPH1B6wcvZDK0QuZ1qxFs1NjLyZ90tdeJMNkMjFp7FDGf7WGhT85iuKK32/Rb8BnWE3RpGmSCI+oyba9xnxX17qf77//nhkzZrB02QpuRF+jx0t98Y56mpu7c+6jnB2LL5t57dN5yJKvYNBp8Q6ryopLcqxCzt5ndpW4fk31ZNby39i24mcMOh3PvvI6vxhDSagRjtZkwcuUtRgDKN3dnWyhYeHI3CT5XtZbVkPVBUEU44cPUZALSWlV5rJiRulnJtAPpOhIvibn9IlrCIKV2o9VwzfKkqVAFyUSJFSUuqDU6PBRKjhqsaK76wFJgMflMizR1zAbjHhVqsReqdz+flni35tpDOn9Nof27yYhIQGAzt16Em0NAnKuOZ2JWqZzKgBiNBox61McMq4BrFaBX9bcQi5ToFSGkvF34dtVxcTEMGLECPqNWU1bLxUHzmm5VUAxtkR6gVVg0TEtEIRMKsESZwEK/t3d1JqZqfWgTs9RqKQSZt9OwyrYhC6reeP7SfALo02HDuzYYqtxLpPJGDZlCv8Y8ieUZTlULSZyiYAoyA8FiZekdG3/EikpKYCt8MSGrb/iVy3/x8pruFqChLrpEiYP+YBjR44QEhLCuNmzORYcSrLJzJMyCd+9N5Czd0taenh4MHvNWjbJbXWuC7vcqagI8VZTM0jNxqtm3p25HLk2DoXKlXNaD7Zc0JLX+EKq0ZXIyApER9/zst3d3ZGofIFErOEeqOK0NGkQiEQCh47fxmSyYtYVfpLBGuYBx21rkXceu41UXvDmEpZI50InlmwKkjhtl4eWiqcSHOfUcxNjgJ2pFtp8+Ckd+ryOXpOKZ0QU//q6YzKWPc9VDFWLFIaycVcUyZXsKnPJJEq2bfzHLsZgS0ra+Ps2bmqdSx4WFRVkLkwdOopjR47YxhcbywevvkojkxGpBNLPnrWLMdgKNmxctIhIV5fsDpkrRZ3Q1b+hG/VSt3NwziACL6/GQy6w6II73/8n5Z/L+Zt73XTwDqMmzqZiRdsynKCgIKZ88SPr7xbQqB7hxluveXL+xJecOfI5b7yopk4N70KNP68FPvJKVmKc530L0N84L2KcyQ6NhVWqMDYE1GKvu4qE+8RYAlR3UdNErcJHmXVjEzFULVIeED3kQlAWGknIJAri4pznNWNvxaGQKtBbcp7zKyiqND1HDh92sBkMBtLjYlGERpCS6ByGvXr+HPVkRTunLZNA1zAVAYY7yFQu7Ex34VxK7jffVpU9+fuX6ez8aysAp0+fpvq+XXQb8i1rT+aeuPQgeqOFbzel0XPQd/i4GNGalCz8J4W0DNtNvV1tCx8NfNW+/aFDB/jy6yWcPp+3HsmZFKUA309Ji3FBebBxhIdCTqt0DUumTebKxYu80K8f1Z9pxwHzve3EULUN0Tsu+4iCXM4xWrU893wHfvh+gYO9+4tdSDPlrSJVJvnJrra6qggPD+fmzZt2m0Qiwd3XD4PVSlRd5wYBz/frx6WMoi2uP7gCzB89gHNnziCTyXhnyAh8HuvM/sSc589reupYcleMMzl/9gx9hSQK+t/CYLSwbm+Ckz080J0j+7c42ffs3kiVSl25eDnrYiKZFJcIZ1IaYpwf7ziTrLo4NTcZea9HD3sy3RcTJzIoQ0dgjxe4rTc8dGIshqofbsSQdTkgt0YSlRt68+vaX2jWrClNmjRm+aqfcasVkOM+heW61Mi072bj4mILQUskEkZOmsQFd5t4nPfzZ/bixVSuUoWAgABGTZqMomEjdBZLkc0f1/VTs2vp95w7cwYAi8XCnJnTaGjNffmQVSpHkUXjiwfX3xZGrDLJMJjx83MuMBIQGITGQ2kPPWf3Ki4skV5FLsbuShkvRyp5O9TM8+FqlDLn325RiTFAyrWrTu0fl8z/npr5CTsUAXJckOg8kFPwKZncEEPVDz+ih1xAykK42o5ST+3WPixqORMkYFWkc1FTPKHqTIxWC7EVfflq02a0cbG4+vpxwc2dG3fn9m4YTdyuEMXAJUtRClZOW+FyLtWT8ktVFysr/tnhZNcmxILMN8d9/46Gt98fxndfTrPbevbux7EkNfcXV6kR7MaTNeVIBIHDV6z8eykl3+NMStXzVI+n+HnBHHtpUXd3d55p24ZdK/IfHi8KCvugkZUY+7ko6O9+mxmDBhETE0P1mjUZMv0bZt1QYLDYBLIgYpwTShfnPInAoCB0UkmJecfBGiVzZq1l86ZttHu2DX3ffBGPyJwjQWKoWiQrREF+SBCwYlHef3N3vPEppUrMVjPWIikdYiPDYuKwoISgu0/uD2S9GixWDuVSraswnM+Q0vLptqxbsczB7hYQkl1JaTuXEnQERz3NjO/rkXjrKj5BYVwXQvjzwj0xbl/NFeuZjXz66bdYLBZeeKkPPZ54mbV78recSCqVcObcRT744AMsFguCIKBUKpnz3WyaPjGEPf8VftlTXikKjz+7MHWPAAtjXr1Xo/v82bPMGvYeHaf/zG83DQUW4+y8Y4DQyEhatGjB/v37AVukZtikSSSqtdkta86WAoWqZa68+c5IDuy3VUi7ePEi+/cdYvFvXyJxz3rKSAxVi2SHKMgFoCTbLBak7/H9xUBcDWpun4rl+OHjRFWJonrjGmi9nb3nglbnKk1OJ+n58JW3uXD6FKdP/odcLufdYaM58v/2zjs6quproHt6STLpFdLoXWlS7SiKghRFAQVsFBuoKDawAwqK+qMJiKJIFwsoiuWjqoCIKL0moSaU9DL9+yNkksmkzCTTEu5ey7XMnZk3j8nk7XfPPfccSRQ4sQd764kCtqJBKWuDIcsClJZ3jAhScZXyNI/P+cA2tnrFEl5s0Y7Y8GR6tA5Ep4Edh/XsPeHY6aosEgmoVTIO/Xec+Ph49u7dy/fff0/X7j0xlW8S7EE8KWMAa1a6Q43uo0cOE2nKJSa2ZqHcqmQcoVKyde13tGrViltvvRWj0YhGoyEuIZZzXup6lp6WY5NxCbv/3s3ZlGzi2rgnGiBC1VcOQshexCPh6irQyNTs+OYPXpn4sm2se8/uvLlgCrma2jdx35dV8RYTd9FIp0Utk3IwM6/Sef3/UuCO1z5miOESKIuzrA9frDxcHxGoZFALGfrM06i0OvbnB7PluL1EVAopj3eQ8OvXvzq8/tTxfQzuEcO0N8aRnp5O/4H3MvzmYXz+a8WzXIVcyjMDYwhVZPHxrD9ZsmQJnTt3Ztq0aahD4pn1YzVTeTfhaRkDKHVhyOVyu97MkZGRSEIDIcv1pKeqZAzQHJiy6BMyMuxzBj6Imw/tHbtAVUVNE7myLiqRSqVYLKXnKpFIUKtVVHRTKELVgqoQQq7HyC9JmfrGFLux37f+zoUT51G1cr5rj7cJVym4i0x++2I+5zIvMXTYCDaYGnCugkpRZit8d0oPlPx77GXcNUpN30ZhhKuMnDiRRkRYMCPuH2KrjTxoyHCu63I/m4+X3qD0bh7Iu5OepP9d/Rze75ZbezNi+DCsl5OGvlq1lCBdMMlxt3DijGMjiD7XRJBxfDsT3n2XnJziJYWdO3diMBgYMOo9zJbTNfmInMYbIi5hfY6GF6a+x9QXnsFsNqNWq5n0wSy+qUE57epkDJAvkxLXsKGDkDVBgWS58F61yaoOT1Aw4fmneXfae7bHnnhqLBGJCodKeSJULagOIeT6jMXqUJQfwGQwUvNaTrXDmQzrO6Q5jBt0F4bLSWA//fA90z9dxn5pHCYnq0YBPJ4kZfOCtxi+bh1xcXHMmDGD1ye/bPeZfLXsc6beeCebKZ3tR2ssSLDSrFkzpk+fzkcffcTJkyfp0KEDFzOzbTIuYd23q3j4pb4VCjlcU0BeZr5NxiXs2bOHwVbXtqW5QnUijtKp6d1EgVJqZfsZ2Hum4nNxZVvTiRwDkvBOvLniJwzZFwmKi+YHg5pcF0tcOiNjgP8K9TwxaTJj7rnbNivvdm1PtMkNqKgndkXUdouTWVbAsLG307VHJ9JSThOfGEfjdlFYFPZJXd6UsaDuIoTsIt5utegqZdePzWEw6rHRzPlotm0sKSmJmMZx5JZZL/Wn9WONTMrJPbtsMi5h3RcL6TD6HXacc05iV0eo+WPJTH5Ytw4orvX8999/c/ToUYfn6vOygdJtYlqVkh49ejBq1ChUKhUTJkwgJiaGkIRWpBxNdXh9s+YtOZtZSUhWpkatViORSOxEHh4eTqHJMyH/6mTcoaGG1qZ9fPjUa+Tn53P3kAe474ZhLP/Xfipbkz3Gx3ONzM2VExMbd7lzpGdkDMXdxf6KjGLO9z+Ql3oMrS6IgMbxHJN5TsYVIQsqpFmPQJr1aEFxJpl799q7ipgd113EPuR6TIG1kP6PDmLGR+/Ro0cPxk94mvkrF5IX5NsLRlVYrKBQOIpKrdFgcGF23CHQzPpv7Vsqbty4kQEDBtiNyeVyNBENbD8HquTkpexiwYIFGI1G8vLyeO2111BpApi1PZ/j0mj69B1Y+vzAQO5/ZALx4VIeutbIA9dk8djtwTSILN6O89PuAkIj43nqqadsr5HJZMz4cD6XChSEBtUuVqGUS+nVKZrhw4cTFRWFOV5X5fMTQlXcFZ/Dmy89Q05ODmazmRVLPiP/8GYiypxLbapvuXtrU1VcNBg5Eykhp1MTzjWLdlrGrqCWqQmQF/8+qy4AUvH3U4SqBc4iZsj1nIKgIlrc1ZYpd3ejyFxEgdk925A8ldClt1iIatue4OBg255dqVRKnwce5b105xcjzxikNG/Zkv/27LGN/fXXX0ycOBG9Xs/atWuJj09g/ORprCptS0zHRqFsWObYG/mff/6hSNuLDYcLuPnWx5h26z0Y9AUoAmK4UCDnu0Uv8N+/u4Fi4c6ct5TZP0o4fb6A9QeCubvbbXy57Fry8/KIadCQb75ew56/t3PDLXehiOzAqhp0ZkqK1dK3nZFP5k4m89JFhg0bRkGyjp+O2kupQ0MNXcPzsBRcIkwr59+/9joc67fv19Bl7E38lqv3mYxdmR2XUJO9xuDc7FgpVWI9YeDHtd+Rl5vPwLv7ILkqEKvc+b8hEaoWuIIQsgv4e7i6MkxWE5mGLLcdz9N8XaTmzWVfc3LXnxTm5dGia0/W5YWREAwnc4pwZqL86zkDz06awnPD76GgoDg8P2TIEP7991/GPP0C19wzjvOFEuYfyKOwTHg8QQfK5s3Zsnmz3fGSExNINci4kAu/HsnjVzTI0gzABR661miTMRRXDPts3gx69n2Vjf9c5PDJPKacLA6133dDFG+NedjWFWrXrl3cO3QEbZIHVLt9qjy3d1Xy9MjBtlD4zJkzeenNOHSaVuQUFgsnPlxD0/y/ef75Fxk3bhzTFi9m3LhxDsdqdVVH0nQazI1r/r3ztoxrirOhamuqkUG9B1JUVCzgT+YvZO2PX5HU2X+WeMoiZsd1HyHkekTZ9eO6TL7JzBd5CgJa34BaJqWxWk/bvb9x8thR+l53C7tU8dXWqjZarMy/FMLkpT+gyzpFWFAAQUEhHMxRMnZNeqWvS8/W06pVaxITE0lNLZZm+/btOXr0CNe2j+WfU6WRgZK1WqPxlMNxMtLPEqRxXBFSWy/atWgEWLX8C96aPZi9J+yf2zJRR/cWxRf/Pw6Z2J+SbXtPmVTCpZNHHBLMvluxmGvGzuK3Q1kA3JIoYcqY1wHQarVkZWWRmprKddddx+bLNx0xMTHccf+DTDpS8+iJL2TsyUpccomcXVu322QMYLVaWThvMTO6PEORpfoKayJULXAVIeQrHH9K6CpPvslM70ArMx8dQVpqCgDLP1vE5BkfcUjXkUuFVV9cLxUamZ0K0BCyQXYsq9r33HQsj+5dGvPss8+SkZGBRCIhNTWVWbNmMWR4IUlN7yPlvH3oPCCuEUql0i4R7d77H2HbQccENLnc8fNWq9UYzfYz09s7h5J3fD2TnpgPwNCRj9Kn9yDWHih+b7PFiibQcb04Lj6JzIJSwcmsRptUTpw4QevWrfnss8946qmnGDlyJCkpKeTm5vLlR+/y+NgXmJ3iukTqm4yrwmp17nxFqFpQE4SQncSb1bkEZTh1wibjEubPmML9c79mRZprhzI3DrGT8tXxOoLUUv5KzaXQUJysozda2HA2mKjUVD54/z2714dFRnOkyHFmvvKQhPc+WcXKhR9w5lQaA4c+hF7bjvMHHYt+pGYFcMONt7Dx/362jT0+/gV+3VOa9S5rFEqE6jSzPplrG/vik3m82qItKkU8emOxFAzBjWjesjWHDuwDQKPR0HfYKN7bUTp7O5avoVuPa/lj2xZWr17NlClTWLNmDeHh4Tz00EN256YLi6DVbY+zP9P5mXJdkbGrmKwmOvXshFqttt3QSCQSHhkzstrZsbdlLGbH9QchZA/j6/Xjuo61gsxVs9mMtBYfUWSQihEtjaxbNpNT6ecYMuQhjsgas+VycZDfj2XzVJdeBAcvtCWWhYSEkNz+Or7f4Sir87l6Zv4FXQZMoq1awm9phVw8a4By249kadn8vOsSA/o8Ra8+d5OecZL4Jq35Jy+ctLwC2/OTwwPYs32Tw/v888cmEjuP5vDZ4v3OX/6Tx33PfYg2L5WCc8dQKBR8sscMlH44/3ckhzFjXyWx8VI2/byerX/+xTOvz+D08f0Ox//l++8YffcY9mfaj/dpoCLeeAmpQskfhQH8c6lYiHVJxjWZHSe3kfLDr2v4/psN5Obm0X/QHSReFYiVym9YvFmJC4SM6xtCyPWE+rJ+XB5Zw2Ri4+I4e6b0xuaRp5/nx4yaJwENbm7hmYfutoWY//prJ69Nn8XfqiTy9cUz4EX/mHnxfyvRZxwjKCgQi64Bi3ZVXm7UYoU/jlc9czInBBMRpEIboQBrHJrwFiz4Lwuj2f6457IK6dCmPaxabjferG0Hfswq3bJmscLSf/KwGANIm1tckS1h7HKkCrXtOVYrzN2RR9PmQxjc836OabU8e7CIx0LDHc6vXYdOpBnklN07PDpBwtfTxvPx9u1IJBKGPTKGW28exr/SmounLsi4ic6M2WomqiU82uoOpBIZBkt+lTKuKWLdWFCC2Ics8Gu+zYEXPvmSJ154ib4D7+btjz/jZFI3LlSzflwZlsYh5J495lB4ZPXieXRNKi0nmqc38ccZ0IaEs2/PLs4f3sWwdirktZiaJ4SquCf2DB+MG8grD/Xlm3dGM66LGlm5Y+bpTagT2tOpS1fbWMdruqBN6khuYfVNMyriSHo+awql7LlYLJR98miGPTrG9nh4eDj3PvUCv6eXCj8uUEnqxu/Ytb24eYLVamXJgrk01zsWR3GWuiDj8pisRRgs1W+5E+vGgtoiZshOINaP7dmXpSRWpaKVxYxJKuEfK2Qb3FP1qDxGi5UluXLCu/XD0lbGwksFmM7XTEpQXLpBHuDYeSg4LJwCY+kFNVAlp4smleceGWUbS0hMYuRrC/l8d81KXt7RGF56cBRmc/F69eFDB/n0/clc/8BUfjtiP7v+fHcBdz74NgMeKY4fnzWHsni3Y2lOZ6hoX/Gm8yauuf4BptzcD2NBLuawBsw6Y8Vapl54M52C7WXWuktIP3EMddskisyuybWuyLjq4h8VI9aNBe5ACNmDeLu7k6vUNMO6i1zG0dUreGr2bLRaLRNef538jp056iEpA1zUG0FhdKmWdWVY45rRMD6BUyeLs8KkUimDH3qSD3eXSvHGJgEsmDbV7nVpqSkock9yfaMGtNBcojDnIkER8Ww4reRIRvWhzMLMczYZl7Brx3YGPmnhtwqev25/LqV/oq7LuLoCHzsuGtmBFtBCruNNzuEcI11v7s2///5rNx6d3MQtMk5Uq2hstZAtlbGnSI/J6vi7ra8yrg1CxvUXIWQ/w98TulQyOTnb/2TezJkAGAwGXhk3jtmrVnM0PLKaV9eO9gEyGodfIO/8GQKjGrDDGsmOi65feBefhlEffo7l2D4K83OJSm7FquMKLNbSphNyKQ5hbQCNzIL+rxW8+PkntrG3Zs4jMyiRC7mVt30E0IY4fj7NW7TkTL57V46kEri2RwxN1CaOFsnZdK4IcxlnBKvk3BUNqsIs9JoQvk2HbL2jkM/kGeh7/Z103fEHf27bikQiYcSYxzgTlQS5zourIhn3kkvZOH8es5Yvp1HjJjz79tv8GR5JlrH091kXZFxTRKhaUBFiDVngEtEKDetXrnAYP/bvHrRyzyWWNQlQoty8jon3D+DNpx9n4rD+xB/8maYhrteCNlqsLDgJn6la83VOK/63y8KpzFKZyqQSIkODeGL8s3avCw0NJTExgeVlZAzw3hsvcluT6kuJ/t8pBRNfnYpMJrMd76lJ7/LzIfd1fZI3CeWZm4LY9/54JvXryd73xjEhwYhaXvynfnOsmpciMpD+/ROmgzv45pXRPKrLIERd8b35twYpPV59n+nfrGfG2l+w9BvBtlrKOEmt5reFC1j22WcUFRWxf99exg6+h86G0iiDN7Y2laWmMhahaoE7ETPkaqgL68fezLDOs5ho1b4DO3futBuPbhjPGRfDmK7QmTwmTJ9mNzb7nbd5dcV1HMmq2X2l2QqFiTq7vcltGwTyUEs9c2e9RHR0NB9++BHr1q0lLrkZV13fl6OnHWtOZ2ZmopU5XtA7JATRNFTCgYsW/j2Vx4H0QgyR7Xlz0TpMBdmYNZHM21OIwey+mVn/eA3Txw0nNSUFgF3bt5P+xIMM/WglJwqtqDYtYejsWQAolUqmTJnCu889yUOzlvNZmX3dZbc0bc7SA4GXOxpWHQUoS2Vrxo2tZmYuXWo3ZjAYyE5Lg8TkWsm4tu0UXUHIWOBuxAzZQ9R0/VgmUZB/Rsuh33M4f1CKxKCu/kVe5JKhkOvvvZfomBjbWKeuXVG3aIm5gjVAd2EuKsRisb/AG41GMNR+G0rZtdaH2sKI+4ewYcMGvvjiC557bgLX33Aj8vZD+Gh7EQZ1BGFhYXavv/nW2/jvYqnAlDIpz3YPIO+3D5g/YRCW3+cxrlsAMqmEY+eLmL9Lz6IDahb/nUtuBYVGXD13c3LpfudgfaZNxiWcOnWKoIILdJBc4uPLMoZiCc6aNYtevXohzyvdfFzbbk1JEZYqE7hypVKSGjVyGNcE67wu45oiZCzwBGKG7FdISd1t4O5+d5OXVxzGfGXyi9w79mYkKv9pmfiLTM7klavRn0xFrlBiiGvAVg8mdAFk6yJp1rwFhw8dtI21aXcVZxRh4Ia9oebGIUScKyDt2EFyckqTuwwGA++/N4NPvrqV3CIdq/YV8OacL1k+dzp7/93NLX3uov3t9/PxjtKkq7vaBPLeCw+TklJcnHrdN6tJOX6E2x+bybr91ddAdvZ8K0QdgEqlQq8vnckqlUok2iCKMk46PD0lJYXhw4djCQwhRlX7/AVnMql3641MnDqNsfcOxmQqviHpf+99aBIjcGUGXpb6nMQluHIQQvYjzmQE8swTY20yBnjrjalcd3NX4tr6TzDDaLGy0WKG2IbFAy7IOCnCQsoF1/8tv2QZGf/RPH5aOJc/N2+k+40303PoKP6X4r5CDQXxgQRoAu3G+vXrR7t27Zj05EgiomIYNfJxluyXkTzgFboPhz3pZj7eYb8GHGS6ZJNxCXv/3cN9itqtFTvTFnH9BSnPv/Uubz5X2tFpwhvT+DFbxR1RDR1qbvfq1YtmHbvxOUrKFgSpCc5uazJaLOyKimHO+h/JTEtFGxJCQHIkafVYxmJ2LHAGIeQq8Pb6cVGelf37DziMn0+/SFxbz2Yw+ztmq5VPs2W0fPhZRo16mr/OwQcn3Fs1qcBoQdO0CTfccAMbN25Ep9PRunVr3nrrrcvP2MvWzRuZ+sk3zN5V+UxXrtYilUrtQuxKpRLkaqDyal+V4Up/4pO5ev6I7MQ7K3+k4OI5NOHR/FqgIzXbwGqTihmLV/DBKxM4cfw4fe64k4fGP8/8fAWZeu/IuISLRiM/yxSQ3ITWIQYu1gEZ1xQhY4GzCCH7EQFh0OvWm/llw6+2MZlMRnxyHLWdvdQXDuToOQDgenK1U7x6yMJrL77JffcfJiQokDdef93ucZPJRM7ZY0BipcfYfFrGmHHPM2dmaRLauImT+cWFTkquSLg8h3KMHMpRA0lwFkq+OxkFRv5nCOfOd5cQKTeTplYx7VIR3poZV4Qv1oxFEpfAXxFC9gA1TeiyKPN4Y9pL5Ofl88fvfxIZGclHc94jIlmKO/KXJUgIyFZz6mAaJpOJFsmNOKa1YLS4dvTWIQb2ZVW/zacuojdbePEgSGhMtyAt4VHRsN++EYNC5VjpqywHzxWiS7iRdxZ2Ij8znYCwWP68EEDK6crzAGojYFcoMln4+pS+OHFLX7sIQ21EDELGVSFkfGUihOxn6JIKWLBqGtnpejSBSjSReszWmoXzyqO5qGT0vY9w7OgxAMLCwpi3ZgX7Hdvq1hiFVMpVKiWBFjNHJFJOF7nn3CsiJlZG+lkzAxsqCc87i1Qq45Q6inVnar+H1Qr8mV7As2PG88fWLbbko6RGjTAlNscstVbZX3lHWiE70uRAAzgJUCpjb8m3ImqbQV2CkLFA4H6EkP0RTS7BSQAGuwpLtUEmkfLf73tsMga4dOkSP6/+mjZjhpJpqH0Wd7hCTseMdGa88jKn0tIYPHw41w0ZymaT/cW7poldFTGuhZRPJoxh/3/F5R279LiW+595myWnah9TsFjhy7wIpi5bR07qYRRqLea4piw+VfxL8aVYXcVdIgYhY2cQs2NBTRBCroS6UBAEnC8KIpfIOXPqtMP4kf0H6KpQukXIHQoLGDP4Hlu95k/nzkWhUBBz71DO6d0/Uw5VKTi5Zb1NxgDbt22h14A9qDVXUWSqXhwNAlX0DjOhwMKf+SpbN6QSzuQb+ShfjVTZDosZOOnaBVqrkHJ7jIIwmZm/8uTsvuD+9n3V4Q8ybqGQE5ORTtGFs0Q0aEBBgzDSXYz8CBkL6jv+s5fmCsfTNaz1FgPX9OzqMN5/6H2cLahZF6HyXDxxwqF5wuolS2iKZ0J+MVoVe3dudxhPObiPCE31jTO6hsu59vRGpg/rzeRBN6JZP5ehDSv+k6hJT4u4AAVjg9JZ8/R9vNr/WiyrZzA2yXt/cjGxMreGqGsq4ySVkgtff8Xjgwby7OjHGXFnf9J/2kaI3PnMPCFjwZWAEPIVREjLcOYvXkBSUhLR0dG8MeMdgtq3wGR1T8nLgOBgh7HERo3IkTp+zWob9gRIySmgx219HMZbdurG2bzqZ1+dzGeZPvlFCgoKsFgsrPpyMfp/NhHuhMydYUBoAc+OvI+01FSsVivrvl7NzqXzaBfu2epr7hQx1P531Tg/z9aMpISpr75GTAUdpipCyFhwpSCE7Gb8ueViobyIuBsS+fSnz1m2cSWaW7tyUuK+Iv4FDRrSq0+pIJVKJU9OfpW9HkrsKjRbMLXswPBRY5DJZCiVSsY+O5HjIY0c1t57R8sYG3SOkab/eCIimy6RKs4eddzzvWndGtqEukfIBedOOkQM1q1ZxYBYCVIPBUSiY9xb19wd68VKQx7WcmVV9Xo9Jie+F3VhnzGI7k0C9yDWkK8wTFYT2ariilH5he4RTwm7jCZ6vfQy/UY+SFFuLiGJifyu0mA2em4P9YYcK00HPMS7A4dikUjYYVbx5xH74hs9IxVc/HYuC5ctsY1NmvEh2oYJDsdr3akLafnuiRiodaEOY02bNuXghjU8360XH51RUWCs/XtFx8hwzA6oHe6IYJQkb6ljI0hMSrKrsd35mmswh+vAUnmhFF/I2Nvbm0DMjgWliBmyoEIC5EoaaHUopBXPuCrLlN1lMLElIoqdyY35WSonuwoZu+OiD3AkV8/yHAkrsyElT+8Qrm0nyeLrMjIG+OD1V4hNbsKNvW+3jSUkJtH+jns5kV2aeNUpQs3ohhYeTZCSHOxaNZID8ijufmCk7We1Ws3DDz/MRzNn8vqoYQyKrd2fn7tD0yW4U8YAx6R63v/iE/oNHEBUVBRDht/PxJnvkFIPZFxbhIwFZREz5AqoKxnWzhBUqCX9yDmKCgqJb5qAPsKMyVr52p0EaFEo56+ffmbDnzu4uW8fGna5mhPyulUpLCZWxrmzxRdnY5HjhT83N5fTeUYaPTSJWx4Yg9looDAkjtknTXA5Ce3+hlL2L5vJpK9WolQqGf3MRBq2uZUtF5xb+9yYYeS6Po+yuN9dHNq9E6lUyjvvvIPBYCAjIwN1TgYQVu1xKvq3eYKyIk5Uq2liNZMtlbFHr8foQlZb+Zs1s9XKfwFW+rz2LINNz5KtgL3GyrP665KMxbqxwJ0IIddjAnLUvPbEJLZs3gJAcHAwy9etxBRf+WuaWNS8+uhoDl6uTvXzhg08+sRjXD16KOeruIjWFHfuSS5PibgMijiio6NJT0+3Pda7bz/+0Wv4M6MIuJyMllMqggiNgoLdv/Lt6hVA8ZrnR1PfYOqiVmyhtPVkdWzOMNIkPowPP/yQ/Px827hUKkUeEARZrv1bPEVZGfeSS/m/j+fwv+XLadS4Cc++/TY7IqLIdGLpoao9xudMl78/VRym/stYwqlUE8eOZqPTbadVq1YEBQXV6P0F9Q8RsvYBFmMg6WmBZF/QIfHgPdHJfak2GQNkZ2cz/4OPCZIEVPqawlPnbDIu4dN584nIq1sz5LJsNMPL85dyx4BBxMfHM/Kxp+jx0ITLMq6YVqEqtvzwjcP4mSMHCFS6JsfvLyl4/u3pdmNPvPAKG/Mr/z2U4KmwdAnltzMlqdX8tnAByxcvRq/Xc2D/PsYOvodO+qpvxlqHGGpd8KP+yxj2/J1Dt659ufXWW+natSsTJ07k4sWLNTqWoP4hhOxlzqZomfDkItq06EXPa4by6/cXMBs90ykh80Kmw9j+vfuQmir/tUsr2KIkk8lA4jhemwtwWdy1llwZeouFL/RKwkdNpO/MlRztNIQFaVW/Z2q+iXZdezqMRyUkUWB0TQDp+QY2B1/FO6t+ZPLsRbyzfB0pLXtzIKviz69Ewt6cFZfQ2GpmzbJldmNGo5HMtNRKj1Pb70FNRQx1S8b6IgVvvvE+GRkZtrG5c+eya1f9WSIT1A4hZG9i0fDx7NUs/mwJFouFM2fOMPjuERze676tR2Vp1LyRw9iQ4UMoUhRvN6noQihvGEXXHj3sxp6c8AznAjz7VfG0lAEO5OrZaTGhD6x+DTg1u4hWtw6kSbNmtrHefftzPqJJjYqEHM4xMuuMmk9NjZiVHsjuS/afvasSbhWkoneokkaBrt/MVVXkI0cqJamR4/cmIDikwucLGTtPTraR7dsdC9mcOeO/WyUF3kWsIXuRzAtyli5dZTdmtVo5cuQknZtXsbBbQ7RNgli45BMmPz+JS5cuMfrxMfTodx35lspDtccp4skZbzHg7/84su8AHbp3RdkikVNG75d89CQl4itJ/KqIOWlw97TPCM47h0yu5JAsnK/PuGdPdU1nvwqphPExSjau/JJPVq3khttuZ/jgB9gtkTjs9S2PMzc9/+iNPD91Go/dOxjj5TXjAfcN4VJUNBhLb2TcER25kmQMEB15FQMHDmTevHl2402bNq3VcQX1B4m1ur9iICcnh+DgYLKzs9Hp3NgayE+pTZZ1VYVBDAVB3DdgMps2bbEbX/vDUpK71iyxo7pa1nKJnIBCNRitGILNFJaT8T+XKt6LLJdI0coV5BoNWKspfenOVoyeSvBylqoEXRvcEX6O18gZZL7AV59/CkC3bt2YM2cO0XENiI4I59tvv6XD5xuQqR3bQ7oSgQhVKOioLyQ7LRVtcAiZUdH8K2Rc4/eE0ozqw4cPM378eNavX09QUBDvv/8+w4YNQ6OpuqWnoG7jrEOFkMvhKRmXsHenlD633WvLuL3vvruZMmMMBdqaZzA722CiIioTsiu4uzeyr6VcEc6I2tNrviPlWTwxqJ9tJiyVSpk6dSoTJ07k5Zdf5u2333YQsruXAoSMXaf89qb8/HxSUlLQarUkJyfX6tiCuoGzDhUhay/TtrOM33d8w9HDp9HpAmnWOoTAkAIKPNxcoi7hya1QNcXTsq2OhEANW1YssgtLWywW9u/fT9OmTW3h5RK8IeJohYawfBNWuYxTSgt5pqplXRsRQ/2QMUBAQACtW7eu1XEF9RP/uupdAVgx0rBxITfcHkaHHkoCQyqvVuSPyCVSkuVaGsu0qGTF93PuyrYWVI7ZakWpckzgksvlPPTEOFavXg1AYnjNuzJVRkW/32YGBVtmfMyQ7jcxpldf2PofkZLKIyVCxgJB9QghX+G4cqEMlyiJPniO6cPG8NrA4ci37qUB1Yerg5UKOmvUtNCqcTYO4I2s6+qI0yi4L9DEQMt5BoVI0Cl8F1A6nV9E1zvuQqEoXWJQqVTc3n8gBxPacvz4cZeO10Sj5ha5lEEBGu5UKbhGrUJRQceLimSsU6jYtfYnli7+AovFQlZWFhMee4LA05cqfC8hY4HAOUTIWuA0Iacv8cCQYbafn3v8SWZ//imytvG0DjFUuJZ8jVzKhf/7lXmffkpCcjIjn3mWrbqQKmtcl+DL0HW8RkGHlL958dnxGAwGQkJCmPbpEpbKQik0++ZmYS0hzPxqLQe2bkIqk9Ki+/WsDw4gJ9e1ftY3y6X89P4Mpq1eTVRUFC+99BLbt23jjuEj2KQLId9kqjLqEW6WMXflaofxs8dTIK6N3ZiQsUDgPGKGLHAKrVzB39v+dBhf8/mXxGoqzhAPV6k498vPvDNpEsePH2fjr78yeuAArqmm6lNZqtoz60l6SvN5dfyTGAzFYsrKymLK+Me5Uee7teQLehOLiwI42uMuCvrcwcYAFTkm5+pqlxCnVvHHkiV8vWoVVquV9PR0xo8fT9877uCP776li9Vc7RJEvtxKuw5XO4yHREbY/SxkLBC4hhCywKkLp9FiJiIqymE8PjmJQnOxFMpfyJtjZcnHH9uN6fV6Mk+4Fl6FYjFLgc4ham4JVRKlcW9md3mKLl1w6GWclppKoD6/kld4h6QIC7ogPTk1bGnZyGph3Vf2s1ur1crBgweRSCTo8rOqPUaGoZAhY0cRGRlpG7ut751omhS3s6xNGcwS6lrXJoHAHYiQtcApjBYLLa9pT4OGDTl96hQAQUFB9BkymP36ihPTCqVSoqJj7Jo6AKi01ddwLk+wQsEYbSYL3nyZkyknGPDACDpedxvrczxz8VWFR6FUKm0zZIBmzVuQqQqEAu8nsbkrSpApldGyTRu2btpkN65SqVi+fDmDRtzPEaovAnMwWMr/1q0mK/UUSo0GSYNITlDkUxFD7WQsZscCXyOELHCaQ1oLM1Z9wYVDxzGbzcQ0a8QxnQzM9kUjStaS9+r1PDl5EmMGD8ZiKRZK+06dsMYngMm1C+81+kLGDBqIXl9cKeujKW/xmMFA7A2DOOsBQf5mUjNt/iLeGP8EWVlZJCQmMuH9j1ic7b0mG54I1e8vLOLRF19iz99/k3t57blv377s2bOH8IgI8gKUYK5eyCarhYMKAzQpiZoIGQsEtUUIuR7QRGeuVXEQZ7FYrRxSmaBdcWgyC6udjMtjtFjZExPHvO9/4MLxY6gCApE1asw2F2UMkHnihE3GJSxftJDxvQey1gM7xzKKTPwY2oSJK79HVpBLQUAIn+eYMVg8u57t6fVyK/B/2kBW/PQ9ezZto6ioiJ07d7J27VoWLfuSA1bXQ/K1FTEIGQsEIIQsuMzVYUa3VO0C+1lyhsHIzyoNtLycfVsDGQOoAhzD3NGxsSgDJeDY1MotZOqNrNEDBIDBszNjbyauJQUWsANoclN3sg+f4LrwUIY8OYbMuGCMZteiDULGQsYC9yGELPAIlW2Dqimm+Hi69ryWP7cW1wGXSqU8/drrbNTrSYooviD7W3WvqvBF5nj5pLujCgO0boCEBhwDqGMy9qWIQchY4H6EkAU2ukfIuZihQK+QkGYuxFJNU4nqcKeUtxvNDJ46lftSUynIziKycRN2BwZhLDNzLSs5f5Szr4qdVLeNydXfsq9FDELGgvqJEHI9obbryAFZar5asIJlS5bRuGlTnntjMqca6Mg3ey+JqTr+MJohrmHxf1BlGNkf5Nw8Gq5WKNBYLRxASrrePa0bncUTJU2FjIWMBZ5DCNlPiNVaOeujBhMBEi3LZn3OooWLAPj7r78YOeAeFv/8PQcDa3dsd4eua0JFM9OUC1JUMil9g8ByNg25WkN6SDSbsl0rtFHZ8eMUCpqmnmDGKy9z4cIFho8eQ9e77uJPk+dnyf4qYhAyFgiqQghZgDxXypLPl9iN6fV6MlJSoU1CrY/vD1IuT1KEhTssBp4bch/nz58H4Kbevbn35Ulsr2HiWVla52Qx+oH7bd2Z5rw3g+d1OoJv7kW2BxPEWoYYAPf21hUyLkbIWOBp/G+hTeB9lBISEhzFG6gLdttb+FtHqESNmnWfLrLJGOC3n35CnnrCLcc/f/wY5VuNr/nic5rI3L89raWHPlt3VNyCYhELGQsE1SOE7EZc/8N3b4i6phe9PFU+b783BVkZWfQbOABJvGOpzNrgT1IOk8C+v/92GM/KyKBs06NGGjW9FDK6q1VoXJCpNtjxZqZxixbkuPF33jrE4LHP1F9mxSBkLLhyECFrryPl5FEVu3YcoqjIQIdOLWjWVgoS38nKbLWguzqMtZu/J+1oKsGhIUQ0jWRbofuTkPwlfJ1istDnnns48MYbduPRjRuz7/L1/2a5lA0fzGT6qpXExsby8vQZ7ItPJMOZOtJJjejSoyfbt20FipvSD33ySY7JJLQODOBgfgFma81E48kbG3eJGHwbogYhY0HdQwjZy6QeUtK711BbqFSlUrHhl69o09m356W3GqABxDSIByCfIih0T6GQ8pQIxZdizjQYaH3zLTxw+jRLP/sMnU7H82++RUp4FBiNxKtVbP1kAWtWLAfg9OnTPHH/MOat/5GfFapqj/+7ycw906Yx9PRp9AUFxDRqhCkrk41Tn8NoNDL0scdIS0gmxYUmEZ6OMNSXWTEIGQvqJkLIXkXGti177NYt9Xo98+Z8zpxPxxKrza11prU7y2i6s3pXRfh6trzVbCHx4VHMGfEgRqmUf8CWcJVstbJg5Uq751ssFjJTU6FJM6eOv91ohqgYAG7JzmJU//62x/7Yto25K1eRGhFV7T7guiJiEDIWCGqDWEP2IhIkZGc7NpM/d+48WH3XZ9eX+HpdObWoiF9MZjYZjHbZz9lSKc1btnR4vjY01OX3CFep2PHLLw7jG1atIqGCkqBQuj7s6fC0kLEjQsYCXyGE7EWsmOhxbUekUvuPfezjI7BIsn10VlXjzgt2ZXhaPDXhv6IiHn/1NbRarW1swH1DyIqJdflYBouZ4NAwh/GwqEgKy/Vc9tZn4W4RCxkLBLVHhKy9TJsOan74cRXvTZ9LdnYO458ZQ/cbGgCFbnsPd3d/8nTougR/WFsuwWKFLbpgZn7/A7knT6LRBXEhIop/a7CHONdoovt11xIcHEx2dvGNl1arpUfffqwvKvLqzYi7b7Dqi4hByFjge4SQvYxUrqfzdQqWdnsFi0WCXJVLWRn7smJXVXhLyuA/Ys41mvgFCTS8vEe7FgU9NivUTF/zNRn79mGxmGl2VStSw5S0drGhQ03xRxGDkLFAUBYhZDcTqIgjz3im2udJFTkeXS/wVo9kT+IvYnYHhWYzZ0LNSHq2RAIcxApeqBPuiSUHIWOBwDMIIQucxpuz5LLUVTFXFIq2Yq1lDy3nqZ8ylpBxSsuhfRnAEdq2a0TDhJrdeAoRC/wNIWQ/xF1ha0/Mkn0lZbAXnD/K2V8S0+qniItJPayi/50PkpaWBkBycjJr131B0xZql44jZCzwR4SQBS6hNahpcfoCJ46fIiIuFmlyHCel3hdRRfLzpqT9Rb7laRdqwp1/1u4SMdRexhKU/LD2d5uMAU6cOMEPP2xiXIs+gHPnKmQs8FeEkOs57pwla6Rqti7fyBuTS8tNjnj0Ebo9PoJzliK3vEdtqEySNRG1vwq3Iool7H78ScaBijgkqNm/76DDYwf2HwL64YyQhYwF/owQcjmU0o4YLLtqdQxnE7uqwh+zrSUZFqa9Nc1ubPGChdxy7yAI89+vUl2SqyuUhKaLCtx7XH8SMZQmb1kpov+APixdutzu8Tv79gaqr7suZCzwd0RhkCsAd11gjXojBoOj3AyF7ttDLaiakupanirY4q8yLuG6G1rxwYfTCQsLIzw8nP/Nep9rr29e7XGEjAV1Af+d1gjcijtC1+oYLTfdfBO//fqbbaxZ82YkNQknrbB+zkL9BU9XTPM3EUPF25pCw2DsE7cwcNCNSJAQFSsDqg7ZCxkL6gpCyH6Mv4Wtc2X5vPTuK7T5sg0/fPcD1914Hfc9MpRcTQFXa4ovwr7KwK6v1CURg2dmxY6YiI4FsCJkLKhPCCFfQbhjlpwXXsQd4/sz4LG7MSkt5FvsFzB9uS2qvuCN+uFQV2XsPELGgrqGELKHcEdiF7h/luwOKRdaiiiUA5aKHy8RihCza1zJIgZReUsgEEIWeAwxW64eb0kY3C9iEDIWCNyJEHIFuGPrkz/jzTrXYrZcMd4UMdT/WTEIGQvqPkLIHsRfw9bg/eYTV7qYvS3gEq6EWTEIGQvqB0LIdYT6IGWwF1N9l7OvJAz+LWIQMhYIKkII+QqneYCakynF2VmSSDn5uLnsUxXUx1mzLyUM0CjIjDbAf2UsRCwQVI4QsodxV9ga3D9LNlzSsGDmCubPWwjAo2MeZdDYweQHercudV2eNftawJ5GzIoFAu8hhFwJ9T2xS4KUXVsOM3f2x7axebPn0bZDO+JvboSlsj1NHqa84PxJ0P4o3yY6MwUy98+IQchYIPA2Qsh1DHfNkpXSAH77eZPD+OZfNjHqtjbkGvNq/R7uoCIJelrS/ije8nhijbgEfxUxCBkL6jdCyF7AnWFrd2G0FNK5SweWLV1hN96lW0cKTb5vpVgVdUGYnqKuiBjErFggcBXR7akO4o4LpwUTPXt1pGfP7raxnj270/PmDiQFVd/KTuA9mujMtv88hbtnxULGAoHriBlyFbhzHdnds2R3hK61sYXM+fJtTh27BEDDxmFIg4pD1SUXf29vixKU4kkBl+AuEV/KCGDvP2fIySqkRQst7a4OR+qGtW0hY8GVhBByHcYdUpYG5ZFwtfLyT47rxr7Yq+wKapkai9WMwVJ/wth1ScQAmee1jHnwbX693JZTJpOx7vvV3HRLAsUdmWqGkLHgSkOErL2IuxNcvIWnw6U1QW1VYT1k4IeZ37Dt002oTkmRS+ru/aU3wtJQLGJ3rxUf/DfTJmMAs9nM889NJjurZpcXpbSjkLHgiqTuXsG8hL9vf/Jmz2R/mi3n7c/injvvxmotlkvQjCBWbfgKU6yPT8xFvHmj46mkrZycfx0eO3nyJEWFZoJDXDumELHgSkbMkL2MJ2bJ7r7QVoU/zJZ1siAWzlpokzFAbm4u/23fg1Ti/19pb82GS/DErLjs97hly0YolUq7x0ePfpioaNe2pwkZC650xAy5nuDNmTL4NulLigSD0TET3GQ2471PwDV8cRPjiRu1im4oW7YJ4acN3/DyS29y/PgJHnlkBA89MhCJ1Ll1fSFigaAYIWQncHfY2lP7kr0tZfCNmLPNuTzy+Ch++6V03VKtVnNVl6sxWH1TYawifBVJ8FTEpLLojtEoITEpglVffYwVExGRMiQSIWOBwFWEkOsZvpAyeFfMVqyEXxXJyu9WserLVYSFh9L3nn6QIAeLwePvXxW+DufHeGlWXMLRwwamvv0eq1atoXXrVrw/cwqRUTFOHVfIWCCwR2ItuxBXCTk5OQQHB5OdnY1Op/PGefkdnkjs8mT1Ll9IuTzekLNOEYTZaibf5L0uVWXxtYABdNZCEsIHA5B2cSUBAeoaH8tsVHNkn4ETx08TExPBVVcnoQuu+BJRVKhgxP2v8M03a21jAQEB7PxrA42bqSp9DyFiwZWGsw4VM2Qn8US2tSdLavpqplyWsrLylJxzjLkeOW5l+IOASygJTefnu+d4EpT89F0qw+8fZUuYe+65p3lp0gNoAxyXAs6cLrCTcfG55HPkSBqNmzWt8D2EjAWCyvH/lFRBjfFm9nV1eDuz2B2UPWd/OndPZE0DZJxW8uTjz9llr0+fPpNDBy5W+PyAQAWxsY77zMLCQhzGxN5igaB6hJBdwBMXFE8XC/EnKZfgj6Lzx3Mqj6dEXIKhQEZWVpbDeGZmToXPj46RMWfuTKTS0svIY4+NomXrKLvnCRELBM4hQtZ+gKe7QflD+Lo6qhKgO8Ld/ihYZ/H0TVXJTWHDeDk33HA9GzeWtuUMDQ2lcZMGlbzSTO/bm7Nj5y8cOZJKdHQEbdrFEaQrPl8hYoHANYSQXcTfK3dVRslF3d/FXBG1lanMGMClVBNyuZTgBmCi0E1n5jm8EdkoH50JCDIxa/YU3nh9Jt99t46OHTswfcYbJCYrgYq3k8nkZtperaPt1W0vjwgZCwQ1RQjZT/BWz+S6MFt2J4XntLzz2mxWr/wKtVrNS5NeoP/wnkgD/EvKUmTIpWrC1QVUJj93UdUySdMWKj75bBIXMiaiC5ETGGR26XyEiAWCmiPWkGuApy463mo+4Y/ryp5ALlGxbvX/sXrlVwAUFRUx+eXXOLrnvI/PzB7pRQ0bVxxkytOfsnblSTIztB57L2e+Y0qVkbh4yWUZO4+QsUBQO4SQ/QxvSrnei9mg5uvV3zkMH9x3BAm+b5IRq7USZAjgidFv8djYZ/js0y8YOXwsM99dhdkY4Nb3ClTEeey7JTKoBQL3IIRcQzx5AarswlmYG8SB3XBkrxxDoXsu2PVZzBKlkWuv7+EwnpgcjxXflbUs+5kfP5zFb79ttHvO3DkLOJ3invPzpIhBzIoFAncihOynlL+Ink3VMnLIm/Ts1o+unfrw0rOfcSlD47b3q49SNloLGPbgIJo2bWIbG3T3AFp2iPfqeZSXcFkqq5NXff28qvGGiIWMBQL3IpK6aoGnM65LEr0kKPluzRZ+KdNM4dNFX3DLrdfTu380JZmttaUuZ2JXhi6piFXrF3Dy+HlUKhWxjYOQaN1U2qoKnL3BadwshJ49u7N16++2sUceHUnD5JqF1AMVsQQo3HejVhFCxAKBZxBCrgNICWDd2p8dxv/ZvY/b+sdjxbEVYW2oX2K2Ig/LIzmsRFKek3FNogyBoXnM++R1fl7/F79v20nv227kul4tkSk8f9PgKkLEAoFnEUKuJd6YJecbL9C33638/vvvdo+179AGK57rblRWMPVDzu7HHaH+2MRCRoy5igfHdsVsLQCcb5QRqIhDovD8Fi4hY4HA84g1ZDfg6YtVgCKCQYN607v3LQBIJBIeHfUgnbsn4q5wdXXU5+QvVyi7HuzOz8OKCbM1F5xMNvP0GnEJYq1YIPAeYoZcR0hspODL5dM5dOgkCoWMhCYqFCrvhzWvtFmzv92EeGtbnJCwQOB9hJDdhDdKagbpTHTqHHu5opfJo+/lDOVlVR8E7W8CLsFbIgYhY4HAVwghuxFv1bn2VplNV6lrgvZX+ZZFiFgguHIQQnYzV7qUy1JeeEa9hoMHjFy6mEXDxCiCGpgwW41ePYe6gDclDELEAoG/IIRchym5cPu7mAH0hRo+mb2ZyZPewmq1EhQUxLdrv+SqrlI83UyhriBELBBc2Ygsaw/g7Qudty/kNeHYgUImvfIm1sslqHJzc3nisYnkZbq3ZnNdxFsZ02URMhYI/A8xQ/YQ3u6b7O+z5XNnLziM7d9/gLwcK4GhPjghH+OrmyghYoHAfxFC9iDeljL479pyYnIcMpkMs7l0n+1NN91AWKR/J365E19GMoSIBQL/R4SsPYwvLoS+CIFWR3JzCctWLCI8PByAzp078e57L6PU5vr4zDyPL38forCHQFB3EDNkL+CLmTL4VxhbKtPT685oft+5itwcPTFxajS6PF+flsfw9Q2RkLBAUPcQQvYSvpIy+I+YrRiIiDMQEQfg2e1OvsDXEgZQStujlIpEOYGgLiKEfAXhL2KuT/iDhAUCQf1ACNmLlIQRfTVTLqFuilmCtxppVIW/CVgp7YhR6n+tGgUCgesIIfsAX4avy1JWLv4q59xMDXt2nef40TSSG8dzVccodGGebzdYFn+TMIg1YoGgPiKE7CP8Rcol+KOczcYA5n6wjnfemWkbe2rcY7z8xiDkHux05Y8CLkGIWCCov0isJaWTqiAnJ4fg4GCys7PR6XTeOK8rBn+SckX4Us4pB5V07tAHi6W0tKZEIuHPv76nSWv3dbvyZwGXUJWI8/PzCQwMBCAvL4+AAJHUJRD4E846VMyQfYy/zZTLU15W3hR0UZHBTsYAVquVoiIDNd1CXxfkW4KYDQsEVxZCyH6Av0u5LBUJzVOSTmiko0ePbmzb9odtrFOnjiQ1CgaqLihSl8RbHiFigeDKRAjZT/CXDOyaUJ38aipsrS6HOfPf5PNF3/HDDz/T+7abGPlwf2KigoCgGh3TnxEiFgiubMQash9SF6XsSaxWJfl5FgICJEik9augiDskLNaQBQL/Rqwh12Hq8mzZE0gkBgLr2YRYzIYFAkF5hJD9mLq0tiyoHiFhgUBQFULIfo6YLdd9hIgFAoEzCCHXEYSY6xZCwgKBwFWEkOsYQsz+i5CwQCCoDULIdRQhZv9ASFggELgLIeQ6jhCz9xESFggEnkAIuZ4gxOw5hIAFAoE3EEKuZ5SVh5BzzRESFggE3kYIuR4j5Ow8QsACgcDXCCFfIQg52yMELBAI/A0h5CuQ8jKq74IW8hUIBHUBIWRBvRG0EK9AIKjLOCXkkoZQOTk5Hj0Zgb/QtNJHDJbdXjwPR5TS9pU+VsSV+f3Mz8+3/X9OTg5ms9mHZyMQCMpT4s7qmis6JeTc3OJm8PHx8bU8LYFA4Eni4qruTS0QCHxHbm4uwcHBlT7uVD9ki8XCmTNnCAoKQiKRuPUEBQKBQCCoz1itVnJzc4mLi0MqlVb6PKeELBAIBAKBwLNUrmqBQCAQCAReQwhZIBAIBAI/QAhZIBAIBAI/QAhZIBAIBAI/QAhZIBAIBAI/QAhZIBAIBAI/QAhZIBAIBAI/4P8BHdu1TO4yu7QAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize = (6,6))\n",
    "\n",
    "# 绘制马氏距离等高线\n",
    "plt.contourf(x-mean[0], y-mean[1], Mahal_dd, cmap='YlGnBu_r', levels=np.linspace(0,3,13))\n",
    "\n",
    "# 绘制样本数据散点\n",
    "ax = sns.scatterplot(x=Xc[:,0], y=Xc[:,1], \n",
    "                     marker = 'o', zorder = 1e3, \n",
    "                     color = 'k', size = 3)\n",
    "\n",
    "ax.axvline(x = 0, c = 'k')\n",
    "ax.axhline(y = 0, c = 'k')\n",
    "ax.axvline(x = data[:,0].mean(), c = 'k')\n",
    "ax.axhline(y = data[:,1].mean(), c = 'k')\n",
    "ax.axis('scaled')\n",
    "ax.set_xbound(lower = -4, upper = 4)\n",
    "ax.set_ybound(lower = -3, upper = 3)\n",
    "ax.xaxis.set_ticks([])\n",
    "ax.yaxis.set_ticks([])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bebcea46-3eb0-43e5-9fa3-55b66b64c4e0",
   "metadata": {},
   "source": [
    "## 特征值分解"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "75fd44d2-9bc2-403f-b317-71c0053831ad",
   "metadata": {},
   "outputs": [],
   "source": [
    "eig_values, V = np.linalg.eig(cov)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "1c9dce97-fd02-4aef-a5bd-0cedcab335f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.5, 0.5])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eig_values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "d7b157ef-8a92-47f3-9213-f754036b138d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.70710678, -0.70710678],\n",
       "       [ 0.70710678,  0.70710678]])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "V"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "70b7ae49-3e4e-43de-b258-55168e551ea0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.5, 0. ],\n",
       "       [0. , 0.5]])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Lambda = np.diag(eig_values)\n",
    "Lambda"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20675f04-50e0-412f-b2f6-61aca53b6bbe",
   "metadata": {},
   "source": [
    "## 投影"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "b0b46508-b98a-4454-ade7-9b16e5ef7165",
   "metadata": {},
   "outputs": [],
   "source": [
    "theta = np.pi/4\n",
    "v1 = np.array([[np.cos(theta)],\n",
    "               [np.sin(theta)]])\n",
    "\n",
    "T1 = v1@v1.T\n",
    "z1_1D = Xc@v1\n",
    "# 一次投影，得到投影点在v1向量上坐标\n",
    "\n",
    "z1_2D = Xc@T1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "eb9d6d5e-c7eb-4b4e-ac41-57888923da12",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize = (6,6))\n",
    "\n",
    "# 绘制马氏距离等高线\n",
    "plt.contourf(x-mean[0], y-mean[1], Mahal_dd, cmap='YlGnBu_r', levels=np.linspace(0,3,13))\n",
    "# plt.contour(xx_maha, yy_maha, mahal_d_Xc, colors='k', levels=[1,2,3])\n",
    "\n",
    "# 绘制样本数据散点\n",
    "ax = sns.scatterplot(x=Xc[:,0], y=Xc[:,1], \n",
    "                     marker = 'o', zorder = 1e3, \n",
    "                     color = 'k', size = 3)\n",
    "\n",
    "# 绘制投影点\n",
    "plt.plot(z1_2D[:,0],z1_2D[:,1], marker = 'x', markersize = 3, color = 'k')\n",
    "\n",
    "# 绘制原始数据、投影点之间的连线\n",
    "plt.plot(([i for (i,j) in z1_2D], [i for (i,j) in Xc]),\n",
    "         ([j for (i,j) in z1_2D], [j for (i,j) in Xc]),c=[0.6,0.6,0.6])\n",
    "\n",
    "ax.axvline(x = 0, c = 'k')\n",
    "ax.axhline(y = 0, c = 'k')\n",
    "ax.axvline(x = data[:,0].mean(), c = 'k')\n",
    "ax.axhline(y = data[:,1].mean(), c = 'k')\n",
    "ax.axis('scaled')\n",
    "ax.set_xbound(lower = -4, upper = 4)\n",
    "ax.set_ybound(lower = -3, upper = 3)\n",
    "ax.xaxis.set_ticks([])\n",
    "ax.yaxis.set_ticks([])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "ef49dc2f-11d7-4f98-a5bd-dc98bd0e6648",
   "metadata": {},
   "outputs": [],
   "source": [
    "theta = -np.pi/4\n",
    "v2 = np.array([[np.cos(theta)],\n",
    "               [np.sin(theta)]])\n",
    "\n",
    "T2 = v2@v2.T\n",
    "z2_1D = Xc@v2\n",
    "# 一次投影，得到投影点在v2向量上坐标\n",
    "\n",
    "z2_2D = Xc@T2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "ecf867bd-066d-4188-bde5-d88f1b2cde8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize = (6,6))\n",
    "\n",
    "# 绘制马氏距离等高线\n",
    "plt.contourf(x-mean[0], y-mean[1], Mahal_dd, cmap='YlGnBu_r', levels=np.linspace(0,3,13))\n",
    "# plt.contour(xx_maha, yy_maha, mahal_d_Xc, colors='k', levels=[1,2,3])\n",
    "\n",
    "# 绘制样本数据散点\n",
    "ax = sns.scatterplot(x=Xc[:,0], y=Xc[:,1], \n",
    "                     marker = 'o', zorder = 1e3, \n",
    "                     color = 'k', size = 3)\n",
    "\n",
    "# 绘制投影点\n",
    "plt.plot(z2_2D[:,0],z2_2D[:,1], marker = 'x', markersize = 3, color = 'k')\n",
    "\n",
    "# 绘制原始数据、投影点之间的连线\n",
    "plt.plot(([i for (i,j) in z2_2D], [i for (i,j) in Xc]),\n",
    "         ([j for (i,j) in z2_2D], [j for (i,j) in Xc]),c=[0.6,0.6,0.6])\n",
    "\n",
    "ax.axvline(x = 0, c = 'k')\n",
    "ax.axhline(y = 0, c = 'k')\n",
    "ax.axvline(x = data[:,0].mean(), c = 'k')\n",
    "ax.axhline(y = data[:,1].mean(), c = 'k')\n",
    "ax.axis('scaled')\n",
    "ax.set_xbound(lower = -4, upper = 4)\n",
    "ax.set_ybound(lower = -3, upper = 3)\n",
    "ax.xaxis.set_ticks([])\n",
    "ax.yaxis.set_ticks([])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2c67c01b-3aac-4d2c-97f0-c9b687ecdb8c",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "a8d6e4ee-22be-4975-994a-9b6742ae527a",
   "metadata": {},
   "source": [
    "作者\t**生姜DrGinger**  \n",
    "脚本\t**生姜DrGinger**  \n",
    "视频\t**崔崔CuiCui**  \n",
    "开源资源\t[**GitHub**](https://github.com/Visualize-ML)  \n",
    "平台\t[**油管**](https://www.youtube.com/@DrGinger_Jiang)\t\t\n",
    "\t\t[**iris小课堂**](https://space.bilibili.com/3546865719052873)\t\t\n",
    "\t\t[**生姜DrGinger**](https://space.bilibili.com/513194466)  "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:base] *",
   "language": "python",
   "name": "conda-base-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
